Prime p₀= 86129398236176671 starts a Symmetric tuple of 14 consecutive primes (SPT).
d_n: 0 36 16 8 10 18 18 26 18 18 10 8 16 36 (?)
a_n: 0 36 52 60 70 88 106 132 150 168 178 186 202 238
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 238
Found by: Paul
db: batch=67, k=14, 36 16 8 10 18 18 26

SPT(14)	86129295980484853	0 40 46 64 76 90 106 144 160 174 186 204 210 250	-102255691818
STPT(10)	86129304856171937	0 2 162 164 192 194 222 224 384 386	-93380004734
SPT(14)	86129310398300731	0 18 30 58 148 150 172 216 238 240 330 358 370 388	-87837875940
SPT(14)	86129311546973621	0 86 92 122 150 168 176 252 260 278 306 336 342 428	-86689203050
SPT(14)	86129333704602563	0 6 30 36 48 60 78 96 114 126 138 144 168 174	-64531574108
SPT(14)	86129371185122101	0 58 72 88 100 118 130 228 240 258 270 286 300 358	-27051054570
SPT(14)	86129408357501381	0 20 26 32 42 48 60 98 110 116 126 132 138 158	10121324710
SPT(16)	86129409654344291	0 8 32 60 72 92 98 110 120 132 138 158 170 198 222 230	11418167620
SPT(14)	86129413569056147	0 20 26 42 54 92 110 156 174 212 224 240 246 266	15332879476
TPT(12)	86129420678087909	0 2 78 80 90 92 150 152 192 194 258 260	22441911238
TPT(12)	86129421162832637	0 2 42 44 72 74 120 122 144 146 174 176	22926655966