Prime p₀= 2036896953536738297 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 10 2 58 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 102 104 114 116 144 146
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: 146
Found by: Landjunge
db: batch=80, k=12, 2 28 2 10 2 58

STPT(10)	2036895589425638477	0 2 30 32 42 44 54 56 84 86	-1364111099820
TPT(14)	2036895856116008177	0 2 12 14 42 44 120 122 180 182 222 224 402 404	-1097420730120
STPT(10)	2036896480528290089	0 2 42 44 60 62 78 80 120 122	-473008448208
SPT(16)	2036896505588649037	0 6 12 16 22 42 82 90 112 120 160 180 186 190 196 202	-447948089260
SPT(16)	2036896557865487951	0 20 36 66 72 78 80 98 120 138 140 146 152 182 198 218	-395671250346
TPT(14)	2036896605389294951	0 2 30 32 66 68 78 80 96 98 150 152 210 212	-348147443346
TPT(14)	2036896953536738297	0 2 30 32 42 44 102 104 114 116 144 146 294 296	0
STPT(10)	2036897262621903761	0 2 30 32 78 80 126 128 156 158	309085165464
SPT(16)	2036897994660318047	0 14 44 56 96 102 144 146 150 152 194 200 240 252 282 296	1041123579750
SPT(16)	2036898050033725367	0 56 66 164 170 192 212 236 240 264 284 306 312 410 420 476	1096496987070
TPT(14)	2036898079233013079	0 2 12 14 18 20 228 230 348 350 402 404 408 410	1125696274782