Prime p₀= 67714301782671251 starts a Symmetric tuple of 20 consecutive primes (SPT).
d_n: 0 8 4 24 2 18 24 16 12 8 46 8 12 16 24 18 2 24 4 8 (?)
a_n: 0 8 12 36 38 56 80 96 108 116 162 170 182 198 222 240 242 266 270 278
All 20 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
derived by truncating larger tuple
Found by: cpuid
db: batch=67, k=20, 8 4 24 2 18 24 16 12 8 46

SPT(14)	67714287591390907	0 42 60 84 112 124 130 174 180 192 220 244 262 304	-14191280344
TPT(12)	67714295056666127	0 2 72 74 102 104 114 116 132 134 174 176	-6726005124
SPT(14)	67714295866814101	0 10 22 52 58 60 112 138 190 192 198 228 240 250	-5915857150
SPT(14)	67714298706947177	0 60 80 102 104 110 140 234 264 270 272 294 314 374	-3075724074
SPT(14)	67714299174134687	0 6 26 54 84 110 126 194 210 236 266 294 314 320	-2608536564
SPT(22)	67714301782671239	0 12 20 24 48 50 68 92 108 120 128 174 182 194 210 234 252 254 278 282 290 302	-12
TPT(12)	67714308873964799	0 2 60 62 72 74 90 92 132 134 138 140	7091293548
SPT(14)	67714312078039217	0 42 50 62 134 140 152 162 174 180 252 264 272 314	10295367966
SPT(14)	67714327097652901	0 12 22 58 72 142 156 232 246 316 330 366 376 388	25314981650
SPT(14)	67714331790221449	0 34 48 60 82 88 90 112 114 120 142 154 168 202	30007550198
STPT(10)	67714336325403707	0 2 30 32 60 62 90 92 120 122	34542732456
SPT(14)	67714338396067333	0 10 34 64 66 78 88 126 136 148 150 180 204 214	36613396082