Prime p₀= 2356842418500245129 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 118 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 180 182 198 200 240 242
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: 242
Found by: Marcel-Berlin
db: batch=81, k=12, 2 40 2 16 2 118

SPT(16)	2356840380270616837	0 6 10 22 36 46 72 102 160 190 216 226 240 252 256 262	-2038229628292
STPT(10)	2356840696516112837	0 2 30 32 60 62 90 92 120 122	-1721984132292
SPT(16)	2356840920765397691	0 50 72 78 92 108 162 182 186 206 260 276 290 296 318 368	-1497734847438
STPT(10)	2356840970073339689	0 2 30 32 60 62 90 92 120 122	-1448426905440
SPT(16)	2356841318840192279	0 8 18 54 60 102 104 128 144 168 170 212 218 254 264 272	-1099660052850
STPT(10)	2356842228716573627	0 2 30 32 42 44 54 56 84 86	-189783671502
STPT(10)	2356843512074240549	0 2 42 44 90 92 138 140 180 182	1093573995420
STPT(10)	2356843774512881387	0 2 24 26 42 44 60 62 84 86	1356012636258
SPT(16)	2356844127177374623	0 10 48 84 88 118 178 204 220 246 306 336 340 376 414 424	1708677129494
SPT(16)	2356844161032484283	0 26 30 56 96 110 140 146 150 156 186 200 240 266 270 296	1742532239154
STPT(10)	2356844268832151981	0 2 36 38 78 80 120 122 156 158	1850331906852