Prime p₀= 2582225796271318499 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 76 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 120 122 150 152 162 164
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: 164
Found by: [SG-FC] hl
db: batch=82, k=12, 2 10 2 28 2 76

STPT(10)	2582224218713309249	0 2 48 50 60 62 72 74 120 122	-1577558009250
STPT(10)	2582224384070932961	0 2 6 8 48 50 90 92 96 98	-1412200385538
STPT(12)	2582224418998409831	0 2 18 20 90 92 156 158 228 230 246 248	-1377272908668
SPT(16)	2582224904765519491	0 36 60 70 130 136 142 148 150 156 162 168 228 238 262 298	-891505799008
SPT(16)	2582225314099584863	0 30 56 66 90 98 164 194 210 240 306 314 338 348 374 404	-482171733636
STPT(10)	2582225484308740817	0 2 30 32 42 44 54 56 84 86	-311962577682
STPT(10)	2582225799573142571	0 2 30 32 60 62 90 92 120 122	3301824072
SPT(20)	2582226107340871501	0 96 100 118 126 142 180 202 208 252 256 300 306 328 366 382 390 408 412 508	311069553002
SPT(16)	2582226507723043019	0 104 144 174 182 224 234 242 282 290 300 342 350 380 420 524	711451724520
SPT(16)	2582226704981571559	0 28 30 52 90 118 160 168 184 192 234 262 300 322 324 352	908710253060
SPT(16)	2582226724261903163	0 90 96 134 158 174 180 230 294 344 350 366 390 428 434 524	927990584664