Prime p₀= 2338426170373286027 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 58 2 64 2 58 2 22 2 (?)
a_n: 0 2 24 26 84 86 150 152 210 212 234 236
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: 236
Found by: Landjunge
db: batch=81, k=12, 2 22 2 58 2 64

STPT(12)	2338424520981108149	0 2 42 44 102 104 198 200 258 260 300 302	-1649392177878
STPT(10)	2338424704943573759	0 2 42 44 60 62 78 80 120 122	-1465429712268
SPT(16)	2338424748089803579	0 12 24 94 100 112 138 142 150 154 180 192 198 268 280 292	-1422283482448
STPT(10)	2338425390658126841	0 2 36 38 78 80 120 122 156 158	-779715159186
STPT(12)	2338425653544987827	0 2 60 62 120 122 210 212 270 272 330 332	-516828298200
SPT(16)	2338426109563471463	0 8 26 54 74 120 126 128 186 188 194 240 260 288 306 314	-60809814564
STPT(10)	2338426381652561741	0 2 30 32 78 80 126 128 156 158	211279275714
TPT(14)	2338426618771232237	0 2 120 122 132 134 150 152 162 164 294 296 330 332	448397946210
SPT(16)	2338426949390988619	0 18 30 34 70 88 94 100 102 108 114 132 168 172 184 202	779017702592
SPT(16)	2338427054939627851	0 42 90 112 150 162 180 196 246 262 280 292 330 352 400 442	884566341824
SPT(16)	2338427187535243201	0 18 78 90 106 138 148 166 210 228 238 270 286 298 358 376	1017161957174