Prime p₀= 2135967508228103321 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 46 2 70 2 4 2 70 2 46 2 (?)
a_n: 0 2 48 50 120 122 126 128 198 200 246 248
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: 248
Found by: CoolAtchOk
db: batch=80, k=12, 2 46 2 70 2 4

SPT(16)	2135966240367762353	0 18 26 74 78 96 140 200 204 264 308 326 330 378 386 404	-1267860340968
TPT(14)	2135966435280559151	0 2 30 32 48 50 90 92 138 140 180 182 186 188	-1072947544170
SPT(16)	2135966765332950617	0 2 60 140 156 162 174 260 306 392 404 410 426 506 564 566	-742895152704
STPT(10)	2135966961674936639	0 2 18 20 30 32 42 44 60 62	-546553166682
STPT(10)	2135967355654097969	0 2 90 92 150 152 210 212 300 302	-152574005352
SPT(16)	2135967429435188819	0 54 92 114 150 152 164 194 210 240 252 254 290 312 350 404	-78792914502
SPT(16)	2135967543493802477	0 30 72 86 104 114 116 140 216 240 242 252 270 284 326 356	35265699156
STPT(10)	2135967667452728411	0 2 30 32 78 80 126 128 156 158	159224625090
TPT(14)	2135967808908187157	0 2 54 56 204 206 210 212 234 236 294 296 360 362	300680083836
STPT(10)	2135967886860641789	0 2 48 50 90 92 132 134 180 182	378632538468
SPT(16)	2135968042986528493	0 4 40 46 54 84 88 130 144 186 190 220 228 234 270 274	534758425172