Prime p₀= 2313407698288660157 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 28 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 72 74 84 86 114 116
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: 116
Found by: Drago75
db: batch=81, k=12, 2 28 2 10 2 28

SPT(16)	2313407189736958811	0 18 30 60 96 116 126 156 182 212 222 242 278 308 320 338	-508551701346
STPT(10)	2313407329484462051	0 2 36 38 78 80 120 122 156 158	-368804198106
TPT(14)	2313407470167563351	0 2 36 38 108 110 156 158 246 248 366 368 390 392	-228121096806
TPT(14)	2313407542531663871	0 2 18 20 66 68 138 140 150 152 168 170 276 278	-155756996286
SPT(16)	2313407595229492709	0 48 62 68 72 110 120 122 138 140 150 188 192 198 212 260	-103059167448
SPT(16)	2313407638539959821	0 10 30 40 60 82 100 112 126 138 156 178 198 208 228 238	-59748700336
SPT(16)	2313407700309651677	0 2 14 30 36 50 72 92 264 284 306 320 326 342 354 356	2020991520
SPT(16)	2313407700523387397	0 20 86 102 156 200 230 252 254 276 306 350 404 420 486 506	2234727240
STPT(10)	2313407972808685349	0 2 42 44 60 62 78 80 120 122	274520025192
TPT(14)	2313408186057047309	0 2 42 44 102 104 138 140 168 170 180 182 192 194	487768387152
SPT(16)	2313408262097166877	0 60 70 82 100 102 112 126 130 144 154 156 174 186 196 256	563808506720