Prime p₀= 767928067628070317 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 10 2 184 2 10 2 10 2 (?)
a_n: 0 2 12 14 24 26 210 212 222 224 234 236
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 236
Found by: [SG]steini
db: batch=73, k=12, 2 10 2 10 2 184

SPT(16)	767926169662782017	0 6 12 20 62 96 116 132 200 216 236 270 312 320 326 332	-1897965288300
SPT(16)	767926964429412847	0 34 76 82 156 196 244 274 342 372 420 460 534 540 582 616	-1103198657470
STPT(10)	767927116560590417	0 2 12 14 72 74 132 134 144 146	-951067479900
SPT(18)	767927814251116447	0 10 12 22 60 64 66 76 112 144 180 190 192 196 234 244 246 256	-253376953870
SPT(16)	767927887228681427	0 2 62 72 80 86 114 120 176 182 210 216 224 234 294 296	-180399388890
STPT(10)	767927950214219141	0 2 6 8 48 50 90 92 96 98	-117413851176
TPT(14)	767928077542133549	0 2 18 20 30 32 60 62 72 74 138 140 150 152	9914063232
SPT(16)	767928078607430141	0 42 60 66 98 102 122 146 252 276 296 300 332 338 356 398	10979359824
STPT(10)	767928130611671171	0 2 6 8 18 20 30 32 36 38	62983600854
SPT(16)	767928225386229581	0 36 38 86 108 116 182 216 242 276 342 350 372 420 422 458	157758159264
SPT(16)	767928309916689479	0 12 38 42 68 104 138 158 174 194 228 264 290 294 320 332	242288619162