Prime p₀= 2733105846050184257 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 16 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 90 92 132 134 162 164
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: 164
Found by: fzs600
db: batch=82, k=12, 2 28 2 40 2 16

SPT(16)	2733103899552008687	0 20 66 90 104 126 132 152 174 194 200 222 236 260 306 326	-1946498175570
STPT(10)	2733104229919819097	0 2 24 26 42 44 60 62 84 86	-1616130365160
STPT(10)	2733104549573559167	0 2 30 32 42 44 54 56 84 86	-1296476625090
SPT(16)	2733104731478341141	0 6 10 22 42 126 168 258 280 370 412 496 516 528 532 538	-1114571843116
STPT(10)	2733105091924184111	0 2 36 38 78 80 120 122 156 158	-754126000146
SPT(16)	2733105437388361289	0 24 30 74 78 104 132 158 174 200 228 254 258 302 308 332	-408661822968
SPT(16)	2733105901744700239	0 84 102 114 118 142 160 228 244 312 330 354 358 370 388 472	55694515982
SPT(16)	2733105916843431491	0 8 42 48 50 92 150 192 206 248 306 348 350 356 390 398	70793247234
STPT(10)	2733106374069865247	0 2 24 26 42 44 60 62 84 86	528019680990
STPT(10)	2733106407083049071	0 2 6 8 48 50 90 92 96 98	561032864814
SPT(16)	2733106692495868807	0 4 24 30 52 54 60 72 154 166 172 174 196 202 222 226	846445684550