Prime p₀= 740345613050743109 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 46 2 40 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 132 134 180 182 222 224
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: 224
Found by: Theadalus
db: batch=73, k=12, 2 40 2 46 2 40

STPT(12)	740343927263887517	0 2 30 32 42 44 72 74 84 86 114 116	-1685786855592
STPT(10)	740344849656481997	0 2 12 14 72 74 132 134 144 146	-763394261112
STPT(12)	740345323810812611	0 2 36 38 48 50 78 80 90 92 126 128	-289239930498
STPT(10)	740345483156058719	0 2 42 44 60 62 78 80 120 122	-129894684390
STPT(10)	740345568715449209	0 2 78 80 120 122 162 164 240 242	-44335293900
TPT(14)	740345592570185687	0 2 42 44 114 116 204 206 360 362 402 404 450 452	-20480557422
TPT(14)	740345811716599481	0 2 30 32 96 98 108 110 150 152 180 182 198 200	198665856372
SPT(16)	740345843525152883	0 18 30 50 54 126 140 146 168 174 188 260 264 284 296 314	230474409774
SPT(16)	740346081834334177	0 54 100 132 144 180 186 222 244 280 286 322 334 366 412 466	468783591068
SPT(16)	740346118870533173	0 8 50 60 104 108 186 216 218 248 326 330 374 384 426 434	505819790064
TPT(14)	740346300223923059	0 2 60 62 78 80 120 122 162 164 198 200 210 212	687173179950