Prime p₀= 2697258597430187837 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: JayPi
db: batch=82, k=12, 2 10 2 40 2 4

SPT(16)	2697256881326241761	0 20 30 128 146 156 206 228 230 252 302 312 330 428 438 458	-1716103946076
SPT(16)	2697257022331288853	0 30 38 44 56 60 98 144 170 216 254 258 270 276 284 314	-1575098898984
STPT(10)	2697257138504899181	0 2 30 32 78 80 126 128 156 158	-1458925288656
SPT(16)	2697257313034922609	0 2 54 72 192 228 270 294 308 332 374 410 530 548 600 602	-1284395265228
SPT(16)	2697257484852720667	0 42 66 82 100 106 142 150 166 174 210 216 234 250 274 316	-1112577467170
STPT(10)	2697258562791823871	0 2 36 38 78 80 120 122 156 158	-34638363966
SPT(16)	2697259287878811547	0 66 84 94 112 114 124 132 184 192 202 204 222 232 250 316	690448623710
SPT(16)	2697259416839438621	0 20 30 60 86 122 156 170 228 242 276 312 338 368 378 398	819409250784
STPT(10)	2697259827546902669	0 2 42 44 60 62 78 80 120 122	1230116714832
SPT(18)	2697260880627123511	0 12 46 70 78 88 120 148 150 208 210 238 270 280 288 312 346 358	2283196935674
STPT(10)	2697261846647084159	0 2 18 20 60 62 102 104 120 122	3249216896322