Prime p₀= 316749134811866789 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 136 2 40 2 16 2 112 2 64 2 (?)
a_n: 0 2 138 140 180 182 198 200 312 314 378 380
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: 380
Found by: marsinph
db: batch=70, k=12, 136 40 16 112 64

SPT(14)	316749098449055527	0 24 54 112 114 120 132 142 154 160 162 220 250 274	-36362811262
TPT(12)	316749099511245587	0 2 102 104 132 134 222 224 264 266 270 272	-35300621202
SPT(16)	316749104838907787	0 54 56 72 74 102 104 146 180 222 224 252 254 270 272 326	-29972959002
SPT(14)	316749109793942921	0 20 32 90 102 140 168 200 228 266 278 336 348 368	-25017923868
TPT(12)	316749118445449049	0 2 138 140 150 152 162 164 192 194 258 260	-16366417740
SPT(14)	316749126849954977	0 2 14 24 36 132 140 156 164 260 272 282 294 296	-7961911812
SPT(14)	316749151031431067	0 42 50 56 92 132 164 192 224 264 300 306 314 356	16219564278
SPT(14)	316749155434350809	0 2 8 14 20 42 48 74 80 102 108 114 120 122	20622484020
SPT(14)	316749166952175767	0 56 62 66 84 90 96 110 116 122 140 144 150 206	32140308978
TPT(12)	316749180591432569	0 2 78 80 120 122 168 170 192 194 360 362	45779565780
SPT(14)	316749199693436261	0 30 36 38 42 48 146 192 290 296 300 302 308 338	64881569472