Prime p₀= 2264984372486405327 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 46 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 102 104 132 134
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: 134
Found by: Orange Kid
db: batch=81, k=12, 2 28 2 10 2 46

SPT(16)	2264983136099367793	0 6 16 30 46 58 88 96 148 156 186 198 214 228 238 244	-1236387037534
SPT(16)	2264983164657460339	0 4 42 70 88 108 114 130 192 208 214 234 252 280 318 322	-1207828944988
STPT(10)	2264983262211808289	0 2 48 50 90 92 132 134 180 182	-1110274597038
SPT(16)	2264983367272456381	0 40 42 48 52 82 90 106 222 238 246 276 280 286 288 328	-1005213948946
SPT(16)	2264983815185136767	0 14 50 56 126 144 150 176 210 236 242 260 330 336 372 386	-557301268560
TPT(14)	2264984086380203117	0 2 54 56 114 116 180 182 210 212 282 284 294 296	-286106202210
STPT(10)	2264984420978590931	0 2 6 8 48 50 90 92 96 98	48492185604
STPT(10)	2264984478652761389	0 2 18 20 30 32 42 44 60 62	106166356062
STPT(10)	2264984943909531461	0 2 36 38 78 80 120 122 156 158	571423126134
STPT(10)	2264985074338692491	0 2 36 38 78 80 120 122 156 158	701852287164
SPT(16)	2264985087055961239	0 40 54 100 120 138 142 154 168 180 184 202 222 268 282 322	714569555912