Prime p₀= 2705037689999466179 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 4 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 78 80 138 140 150 152
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: 152
Found by: JayPi
db: batch=82, k=12, 2 10 2 58 2 4

SPT(16)	2705036298895538653	0 34 48 66 78 94 100 160 234 294 300 316 328 346 360 394	-1391103927526
STPT(10)	2705036319656485481	0 2 6 8 18 20 30 32 36 38	-1370342980698
STPT(10)	2705036867929595831	0 2 30 32 78 80 126 128 156 158	-822069870348
SPT(16)	2705037330246364411	0 58 60 100 102 148 228 250 270 292 372 418 420 460 462 520	-359753101768
STPT(10)	2705037336426155711	0 2 36 38 78 80 120 122 156 158	-353573310468
SPT(16)	2705037601386941719	0 12 70 78 100 142 178 192 238 252 288 330 352 360 418 430	-88612524460
STPT(10)	2705037786755891771	0 2 30 32 60 62 90 92 120 122	96756425592
STPT(10)	2705037869738029127	0 2 30 32 42 44 54 56 84 86	179738562948
STPT(10)	2705038318658437031	0 2 6 8 48 50 90 92 96 98	628658970852
STPT(10)	2705038323283957481	0 2 6 8 18 20 30 32 36 38	633284491302
SPT(16)	2705038523681961911	0 6 12 56 72 90 108 188 240 320 338 356 372 416 422 428	833682495732