Prime p₀= 2315711572529883401 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 16 2 10 2 64 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 96 98 108 110 126 128
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: 128
Found by: Orange Kid
db: batch=81, k=12, 2 16 2 10 2 64

STPT(12)	2315710504345133591	0 2 78 80 90 92 168 170 180 182 258 260	-1068184749810
TPT(14)	2315710527876680057	0 2 54 56 90 92 102 104 144 146 210 212 270 272	-1044653203344
SPT(16)	2315710539737984219	0 84 122 132 150 164 168 188 204 224 228 242 260 270 308 392	-1032791899182
TPT(14)	2315710540171620959	0 2 78 80 168 170 180 182 318 320 330 332 378 380	-1032358262442
STPT(10)	2315710607648041067	0 2 60 62 102 104 144 146 204 206	-964881842334
SPT(16)	2315711050262211023	0 50 66 86 90 116 156 168 206 218 258 284 288 308 324 374	-522267672378
STPT(10)	2315711629808827301	0 2 6 8 18 20 30 32 36 38	57278943900
STPT(10)	2315712068888408987	0 2 30 32 42 44 54 56 84 86	496358525586
SPT(16)	2315712430055693783	0 24 50 78 86 200 210 228 356 374 384 498 506 534 560 584	857525810382
SPT(16)	2315712507312856753	0 10 24 30 34 84 100 114 154 168 184 234 238 244 258 268	934782973352
SPT(16)	2315712752008326383	0 14 20 56 104 108 150 170 234 254 296 300 348 384 390 404	1179478442982