Prime p₀= 1238030142979155371 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 4 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 66 68 96 98 126 128
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: 128
Found by: amazing
db: batch=77, k=12, 2 28 2 28 2 4

TPT(14)	1238028832890383579	0 2 48 50 78 80 90 92 132 134 168 170 222 224	-1310088771792
SPT(16)	1238029031487929381	0 2 30 38 42 86 96 228 260 392 402 446 450 458 486 488	-1111491225990
STPT(10)	1238029344684707129	0 2 18 20 60 62 102 104 120 122	-798294448242
SPT(16)	1238029502254148239	0 10 18 28 34 54 70 94 174 198 214 234 240 250 258 268	-640725007132
SPT(16)	1238029542887684543	0 20 38 90 128 138 168 188 216 236 266 276 314 366 384 404	-600091470828
SPT(16)	1238029623190460959	0 4 42 60 102 132 154 162 202 210 232 262 304 322 360 364	-519788694412
STPT(10)	1238030148342679589	0 2 18 20 60 62 102 104 120 122	5363524218
STPT(10)	1238030764402964639	0 2 42 44 120 122 198 200 240 242	621423809268
SPT(16)	1238030783249010701	0 26 146 150 156 168 188 192 296 300 320 332 338 342 462 488	640269855330
STPT(10)	1238030887168145039	0 2 12 14 30 32 48 50 60 62	744188989668
SPT(16)	1238031089853739393	0 10 36 60 106 120 130 154 210 234 244 258 304 328 354 364	946874584022