Prime p₀= 214360516821022799 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 28 2 76 2 40 2 4 2 (?)
a_n: 0 2 12 14 42 44 120 122 162 164 168 170
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: 170
Found by: marsinph
db: batch=69, k=12, 10 28 76 40 4

SPT(14)	214360486713184531	0 12 40 58 118 126 142 156 172 180 240 258 286 298	-30107838268
SPT(14)	214360489899638791	0 10 22 30 66 106 142 156 192 232 268 276 288 298	-26921384008
SPT(14)	214360494950508667	0 4 52 90 96 102 106 150 154 160 166 204 252 256	-21870514132
SPT(14)	214360495583948827	0 36 40 94 102 136 156 220 240 274 282 336 340 376	-21237073972
SPT(14)	214360505741505983	0 18 84 104 138 146 186 188 228 236 270 290 356 374	-11079516816
SPT(14)	214360516564062007	0 40 66 94 96 100 124 126 150 154 156 184 210 250	-256960792
SPT(14)	214360583954393957	0 2 62 72 80 86 110 126 150 156 164 174 234 236	67133371158
SPT(16)	214360587543272329	0 18 22 78 102 132 148 168 214 234 250 280 304 360 364 382	70722249530
SPT(14)	214360623374660251	0 10 60 90 102 112 132 136 156 166 178 208 258 268	106553637452
TPT(12)	214360634682330791	0 2 18 20 156 158 228 230 270 272 336 338	117861307992
SPT(14)	214360668049625297	0 62 72 102 114 132 200 324 392 410 422 452 462 524	151228602498