Prime p₀= 2734852271596568951 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 36 38 48 50 78 80 90 92 126 128
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: 128
Found by: [SG-FC] hl
db: batch=82, k=12, 2 34 2 10 2 28

STPT(10)	2734849886172448859	0 2 42 44 90 92 138 140 180 182	-2385424120092
STPT(10)	2734850390806397957	0 2 30 32 60 62 90 92 120 122	-1880790170994
STPT(10)	2734850472701022461	0 2 36 38 78 80 120 122 156 158	-1798895546490
SPT(16)	2734850505048510677	0 20 24 30 72 162 164 170 174 180 182 272 314 320 324 344	-1766548058274
TPT(14)	2734850923255311671	0 2 18 20 30 32 66 68 126 128 180 182 270 272	-1348341257280
SPT(16)	2734852091052049097	0 6 54 90 96 104 120 150 206 236 252 260 266 302 350 356	-180544519854
SPT(16)	2734852502140948639	0 30 72 102 118 130 168 172 270 274 312 324 340 370 412 442	230544379688
STPT(10)	2734852564222430549	0 2 18 20 30 32 42 44 60 62	292625861598
SPT(16)	2734852719417531277	0 22 42 76 82 130 166 180 196 210 246 294 300 334 354 376	447820962326
SPT(16)	2734852754510094059	0 2 48 62 84 128 168 210 212 254 294 338 360 374 420 422	482913525108
SPT(16)	2734852905059638007	0 72 80 84 144 150 162 212 234 284 296 302 362 366 374 446	633463069056