Prime p₀= 1314061266151691339 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 34 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 78 80 102 104 120 122
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: 122
Found by: HenkM
db: batch=77, k=12, 2 16 2 22 2 34

SPT(16)	1314060269378887321	0 18 30 48 76 82 88 120 208 240 246 252 280 298 310 328	-996772804018
SPT(16)	1314060570454492649	0 12 24 32 60 90 104 110 132 138 152 182 210 218 230 242	-695697198690
STPT(10)	1314060638000102339	0 2 42 44 90 92 138 140 180 182	-628151589000
SPT(16)	1314060856105042519	0 28 48 78 88 132 144 148 234 238 250 294 304 334 354 382	-410046648820
SPT(16)	1314060939349395511	0 36 66 72 112 136 156 190 228 262 282 306 346 352 382 418	-326802295828
STPT(10)	1314061108309851191	0 2 6 8 168 170 330 332 336 338	-157841840148
SPT(16)	1314061574579412767	0 6 12 14 36 42 56 174 182 300 314 320 342 344 350 356	308427721428
STPT(10)	1314061857174597359	0 2 12 14 90 92 168 170 180 182	591022906020
STPT(10)	1314062447163079907	0 2 42 44 72 74 102 104 144 146	1181011388568
SPT(16)	1314062582487327359	0 30 32 42 44 78 120 134 228 242 284 318 320 330 332 362	1316335636020
STPT(10)	1314062613438824399	0 2 132 134 150 152 168 170 300 302	1347287133060