Prime p₀= 316749248740449359 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 28 2 58 2 214 2 40 2 (?)
a_n: 0 2 72 74 102 104 162 164 378 380 420 422
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: 422
Found by: marsinph
db: batch=70, k=12, 70 28 58 214 40

SPT(14)	316749151031431067	0 42 50 56 92 132 164 192 224 264 300 306 314 356	-97709018292
SPT(14)	316749155434350809	0 2 8 14 20 42 48 74 80 102 108 114 120 122	-93306098550
SPT(14)	316749166952175767	0 56 62 66 84 90 96 110 116 122 140 144 150 206	-81788273592
TPT(12)	316749180591432569	0 2 78 80 120 122 168 170 192 194 360 362	-68149016790
SPT(14)	316749199693436261	0 30 36 38 42 48 146 192 290 296 300 302 308 338	-49047013098
SPT(14)	316749246444075209	0 44 84 90 92 114 120 224 230 252 254 260 300 344	-2296374150
SPT(14)	316749274408617367	0 6 52 100 102 114 136 150 172 184 186 234 280 286	25668168008
SPT(14)	316749284853189767	0 42 62 74 104 120 152 174 206 222 252 264 284 326	36112740408
SPT(14)	316749286626293791	0 6 12 22 28 40 48 70 78 90 96 106 112 118	37885844432
SPT(14)	316749302235346781	0 8 56 66 72 78 110 138 170 176 182 192 240 248	53494897422
SPT(14)	316749317612035897	0 12 40 54 72 84 94 102 112 124 142 156 184 196	68871586538