Prime p₀= 2928918186196167437 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 22 2 4 2 22 2 28 2 (?)
a_n: 0 2 30 32 54 56 60 62 84 86 114 116
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: Landjunge
db: batch=82, k=12, 2 28 2 22 2 4

SPT(16)	2928916298600869249	0 12 22 28 72 100 124 144 148 168 192 220 264 270 280 292	-1887595298188
SPT(16)	2928916509512351549	0 48 50 102 140 164 230 254 288 312 378 402 440 492 494 542	-1676683815888
SPT(16)	2928917017672162981	0 28 36 48 70 106 142 178 210 246 282 318 340 352 360 388	-1168524004456
STPT(10)	2928917140541768609	0 2 48 50 60 62 72 74 120 122	-1045654398828
SPT(16)	2928917595457368589	0 18 28 34 40 42 54 60 112 118 130 132 138 144 154 172	-590738798848
STPT(10)	2928918055051546469	0 2 18 20 30 32 42 44 60 62	-131144620968
STPT(10)	2928918226906460681	0 2 6 8 48 50 90 92 96 98	40710293244
STPT(10)	2928918494077548389	0 2 18 20 30 32 42 44 60 62	307881380952
SPT(16)	2928918814243466903	0 20 26 60 78 80 126 134 150 158 204 206 224 258 264 284	628047299466
SPT(16)	2928919433088739213	0 6 30 40 78 118 166 216 238 288 336 376 414 424 448 454	1246892571776
SPT(16)	2928920663842249357	0 4 12 22 36 130 180 186 250 256 306 400 414 424 432 436	2477646081920