Prime p₀= 2704031623021003181 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 70 2 4 2 70 2 16 2 (?)
a_n: 0 2 18 20 90 92 96 98 168 170 186 188
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: 188
Found by: JayPi
db: batch=82, k=12, 2 16 2 70 2 4

SPT(16)	2704030001166036889	0 10 40 42 48 82 100 114 118 132 150 184 190 192 222 232	-1621854966292
SPT(16)	2704030044478647697	0 24 60 72 102 112 156 172 204 220 264 274 304 316 352 376	-1578542355484
SPT(16)	2704031126666038079	0 42 78 84 92 120 140 162 260 282 302 330 338 344 380 422	-496354965102
TPT(16)	2704031169696698291	0 2 6 8 48 50 216 218 228 230 378 380 420 422 426 428	-453324304890
SPT(16)	2704031201663291737	0 6 40 66 94 100 112 174 202 264 276 282 310 336 370 376	-421357711444
STPT(10)	2704031257100756411	0 2 6 8 48 50 90 92 96 98	-365920246770
STPT(10)	2704031640432774107	0 2 30 32 42 44 54 56 84 86	17411770926
STPT(10)	2704031681695086497	0 2 60 62 72 74 84 86 144 146	58674083316
SPT(16)	2704031733753168817	0 84 96 154 162 172 192 232 234 274 294 304 312 370 382 466	110732165636
SPT(16)	2704031916899709709	0 18 40 42 88 102 118 120 130 132 148 162 208 210 232 250	293878706528
STPT(10)	2704032220113260579	0 2 48 50 90 92 132 134 180 182	597092257398