Prime p₀= 2565856914557860127 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 16 2 118 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 162 164 180 182 204 206
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: 206
Found by: RFGuy_KCCO
db: batch=82, k=12, 2 22 2 16 2 118

SPT(16)	2565854221997819563	0 10 48 54 70 76 88 90 94 96 108 114 130 136 174 184	-2692560040564
STPT(10)	2565854668963173059	0 2 42 44 90 92 138 140 180 182	-2245594687068
SPT(13)	2565854846914144151	0 36 42 60 66 120 126 132 186 192 210 216 252	-2067643715976
SPT(16)	2565855795513567163	0 34 84 90 94 150 190 208 300 318 358 414 418 424 474 508	-1119044292964
SPT(16)	2565856565799800899	0 22 52 108 112 150 174 190 252 268 292 330 334 390 420 442	-348758059228
STPT(10)	2565856662677816411	0 2 36 38 78 80 120 122 156 158	-251880043716
STPT(10)	2565857153746131071	0 2 30 32 78 80 126 128 156 158	239188270944
SPT(16)	2565857324614341011	0 42 50 60 62 72 140 156 176 192 260 270 272 282 290 332	410056480884
STPT(10)	2565857493200799827	0 2 30 32 42 44 54 56 84 86	578642939700
SPT(16)	2565858294820611187	0 4 34 40 46 70 106 124 126 144 180 204 210 216 246 250	1380262751060
STPT(10)	2565858656823494867	0 2 30 32 102 104 174 176 204 206	1742265634740