Prime p₀= 2732034759236073257 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 178 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 222 224 234 236 264 266
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: 266
Found by: JayPi
db: batch=82, k=12, 2 28 2 10 2 178

SPT(16)	2732033206002157399	0 12 30 70 72 112 118 138 154 174 180 220 222 262 280 292	-1553233915858
SPT(16)	2732033288139416831	0 6 56 86 108 138 146 188 240 282 290 320 342 372 422 428	-1471096656426
SPT(16)	2732033537664315611	0 18 38 68 110 122 150 152 198 200 228 240 282 312 332 350	-1221571757646
STPT(10)	2732033916207082181	0 2 36 38 78 80 120 122 156 158	-843028991076
SPT(16)	2732034271436840173	0 18 24 40 58 70 100 108 130 138 168 180 198 214 220 238	-487799233084
SPT(16)	2732034707576562097	0 12 22 40 72 100 120 196 210 286 306 334 366 384 394 406	-51659511160
SPT(16)	2732034766638882469	0 52 78 88 94 154 168 282 310 424 438 498 504 514 540 592	7402809212
STPT(10)	2732034831150544187	0 2 90 92 102 104 114 116 204 206	71914470930
SPT(16)	2732035307227380551	0 38 126 146 210 216 228 258 260 290 302 308 372 392 480 518	547991307294
SPT(16)	2732035503246385201	0 46 48 160 166 186 220 238 318 336 370 390 396 508 510 556	744010311944
STPT(10)	2732035518642990137	0 2 30 32 42 44 54 56 84 86	759406916880