Prime p₀= 1132265376202583261 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 52 2 64 2 52 2 34 2 (?)
a_n: 0 2 36 38 90 92 156 158 210 212 246 248
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: 248
Found by: arkiss
db: batch=76, k=12, 2 34 2 52 2 64

SPT(16)	1132264312699344641	0 18 56 66 78 90 98 120 248 270 278 290 302 312 350 368	-1063503238620
SPT(20)	1132264428908650447	0 4 12 34 40 64 106 114 126 142 144 160 172 180 222 246 252 274 282 286	-947293932814
SPT(16)	1132264561655180329	0 10 28 52 70 82 154 204 208 258 330 342 360 384 402 412	-814547402932
STPT(10)	1132264688619654827	0 2 30 32 42 44 54 56 84 86	-687582928434
STPT(10)	1132264735932744509	0 2 18 20 30 32 42 44 60 62	-640269838752
SPT(16)	1132265015509221977	0 50 56 60 96 102 110 116 126 132 140 146 182 186 192 242	-360693361284
STPT(10)	1132265555815723127	0 2 30 32 42 44 54 56 84 86	179613139866
STPT(10)	1132265590291400231	0 2 6 8 18 20 30 32 36 38	214088816970
SPT(16)	1132265666811042047	0 14 32 42 56 72 102 144 152 194 224 240 254 264 282 296	290608458786
TPT(14)	1132265725719094661	0 2 36 38 78 80 90 92 120 122 156 158 168 170	349516511400
STPT(10)	1132265985488131997	0 2 24 26 42 44 60 62 84 86	609285548736