Prime p₀= 2330708331856657979 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 22 2 4 2 22 2 16 2 (?)
a_n: 0 2 18 20 42 44 48 50 72 74 90 92
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: 92
Found by: vinn@[CNT]
db: batch=81, k=12, 2 16 2 22 2 4

SPT(16)	2330707317657142637	0 2 6 24 54 110 140 162 224 246 276 332 362 380 384 386	-1014199515342
STPT(10)	2330707744351536461	0 2 6 8 18 20 30 32 36 38	-587505121518
SPT(16)	2330708080887977909	0 62 108 132 152 170 180 200 222 242 252 270 290 314 360 422	-250968680070
SPT(16)	2330708183025193333	0 40 48 124 138 180 208 216 238 246 274 316 330 406 414 454	-148831464646
SPT(16)	2330708203357456367	0 32 120 170 200 210 236 240 242 246 272 282 312 362 450 482	-128499201612
STPT(10)	2330708210000399027	0 2 30 32 42 44 54 56 84 86	-121856258952
SPT(16)	2330708442105520249	0 28 34 64 78 90 94 112 120 138 142 154 168 198 204 232	110248862270
STPT(10)	2330708693288171921	0 2 6 8 48 50 90 92 96 98	361431513942
SPT(16)	2330709504854155069	0 40 42 60 84 100 124 130 192 198 222 238 262 280 282 322	1172997497090
STPT(10)	2330709715655826509	0 2 42 44 90 92 138 140 180 182	1383799168530
STPT(10)	2330709738179131919	0 2 30 32 120 122 210 212 240 242	1406322473940