Prime p₀= 2089058742819248531 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 34 2 10 2 28 2 10 2 34 2 (?)
a_n: 0 2 36 38 48 50 78 80 90 92 126 128
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: Landjunge
db: batch=80, k=12, 2 34 2 10 2 28

STPT(10)	2089057032273445049	0 2 12 14 90 92 168 170 180 182	-1710545803482
STPT(10)	2089057078949857097	0 2 42 44 72 74 102 104 144 146	-1663869391434
SPT(16)	2089057477452381301	0 48 60 78 106 112 118 132 166 180 186 192 220 238 250 298	-1265366867230
STPT(10)	2089057908171370259	0 2 12 14 30 32 48 50 60 62	-834647878272
STPT(10)	2089058102003818241	0 2 6 8 18 20 30 32 36 38	-640815430290
SPT(16)	2089058488644270709	0 48 54 102 114 124 154 168 184 198 228 238 250 298 304 352	-254174977822
STPT(12)	2089058761601018111	0 2 36 38 48 50 78 80 90 92 126 128	18781769580
STPT(10)	2089059242565938309	0 2 42 44 60 62 78 80 120 122	499746689778
SPT(16)	2089060120116479773	0 6 16 18 156 186 208 216 250 258 280 310 448 450 460 466	1377297231242
SPT(16)	2089060149294724337	0 14 26 30 44 146 162 174 182 194 210 312 326 330 342 356	1406475475806
SPT(16)	2089061125483212449	0 30 32 38 72 228 230 240 260 270 272 428 462 468 470 500	2382663963918