Prime p₀= 1251845871168658859 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: mikey
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1251844251026923781	0 42 62 90 126 132 146 168 170 192 206 212 248 276 296 338	-1620141735078
SPT(16)	1251844895127094223	0 50 86 96 120 134 138 146 168 176 180 194 218 228 264 314	-976041564636
SPT(16)	1251845173110663331	0 22 28 78 106 160 162 168 250 256 258 312 340 390 396 418	-698057995528
SPT(16)	1251845573240720273	0 48 56 78 126 128 170 176 180 186 228 230 278 300 308 356	-297927938586
STPT(10)	1251845672136799079	0 2 18 20 30 32 42 44 60 62	-199031859780
STPT(10)	1251845740917154697	0 2 12 14 42 44 72 74 84 86	-130251504162
SPT(16)	1251846270058599497	0 32 74 120 126 144 150 156 170 176 182 200 206 252 294 326	398889940638
SPT(16)	1251846322934979623	0 14 20 36 48 168 180 194 210 224 236 356 368 384 390 404	451766320764
STPT(10)	1251846359702738621	0 2 6 8 48 50 90 92 96 98	488534079762
SPT(16)	1251846379794992819	0 18 32 74 84 92 204 222 230 248 360 368 378 420 434 452	508626333960
STPT(10)	1251846474720455111	0 2 36 38 78 80 120 122 156 158	603551796252