Prime p₀= 1323230678663621591 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 4 2 70 2 28 2 28 2 70 2 4 2 (?)
a_n: 0 2 6 8 78 80 108 110 138 140 210 212 216 218
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: 218
Found by: Theadalus
db: batch=77, k=14, 2 4 2 70 2 28 2

STPT(10)	1323229731712037417	0 2 30 32 72 74 114 116 144 146	-946951584174
STPT(10)	1323229911116664371	0 2 6 8 18 20 30 32 36 38	-767546957220
STPT(10)	1323230052627072437	0 2 12 14 42 44 72 74 84 86	-626036549154
SPT(16)	1323230499466263337	0 4 60 66 112 174 186 210 256 280 292 354 400 406 462 466	-179197358254
SPT(16)	1323230512783202011	0 58 60 106 126 148 150 160 228 238 240 262 282 328 330 388	-165880419580
TPT(14)	1323230625469327697	0 2 42 44 132 134 150 152 174 176 180 182 300 302	-53194293894
TPT(14)	1323230678663621591	0 2 6 8 78 80 108 110 138 140 210 212 216 218	0
SPT(16)	1323230801131548571	0 6 16 28 30 70 106 108 160 162 198 238 240 252 262 268	122467926980
SPT(16)	1323231226520910937	0 24 40 54 72 114 142 156 220 234 262 304 322 336 352 376	547857289346
SPT(18)	1323231838530074441	0 2 8 20 36 38 62 68 72 146 150 156 180 182 198 210 216 218	1159866452850
SPT(16)	1323232075975074541	0 12 30 82 112 118 126 178 180 232 240 246 276 328 346 358	1397311452950