Prime p₀= 1359422717024029727 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 40 2 4 2 40 2 10 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 114 116
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: 116
Found by: HenkM
db: batch=77, k=12, 2 10 2 40 2 4

SPT(16)	1359421855650223073	0 20 44 48 80 104 114 126 128 140 150 174 206 210 234 254	-861373806654
SPT(16)	1359422014588302617	0 14 24 30 32 170 192 194 240 242 264 402 404 410 420 434	-702435727110
SPT(16)	1359422152587574549	0 24 34 64 70 108 148 162 250 264 304 342 348 378 388 412	-564436455178
STPT(10)	1359422476255392917	0 2 30 32 42 44 54 56 84 86	-240768636810
STPT(10)	1359422688718532441	0 2 120 122 150 152 180 182 300 302	-28305497286
TPT(14)	1359422717024029709	0 2 18 20 30 32 72 74 78 80 120 122 132 134	-18
TPT(14)	1359422910619044917	0 2 42 44 84 86 324 326 480 482 492 494 510 512	193595015190
STPT(10)	1359423101164982339	0 2 48 50 90 92 132 134 180 182	384140952612
SPT(16)	1359423341453255207	0 20 90 96 132 164 192 206 240 254 282 314 350 356 426 446	624429225480
SPT(16)	1359423991669696093	0 66 70 84 96 100 124 126 238 240 264 268 280 294 298 364	1274645666366
SPT(16)	1359424092855737891	0 12 48 50 56 80 92 108 110 126 138 162 168 170 206 218	1375831708164