Prime p₀= 2046867068442037727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Dingo
db: batch=80, k=10, 2 28 2 40 2

SPT(16)	2046865989493933733	0 6 30 56 86 90 144 156 158 170 224 228 258 284 308 314	-1078948103994
SPT(16)	2046866001593371313	0 6 14 36 68 90 116 134 150 168 194 216 248 270 278 284	-1066848666414
SPT(16)	2046866259929724137	0 6 42 56 66 86 104 146 150 192 210 230 240 254 290 296	-808512313590
STPT(12)	2046866386721868431	0 2 18 20 30 32 96 98 108 110 126 128	-681720169296
STPT(10)	2046866587792869629	0 2 42 44 90 92 138 140 180 182	-480649168098
SPT(16)	2046867019146352531	0 36 88 102 112 156 160 172 216 228 232 276 286 300 352 388	-49295685196
SPT(16)	2046867124373217217	0 10 52 54 84 96 112 192 214 294 310 322 352 354 396 406	55931179490
SPT(16)	2046867156072165593	0 38 56 66 78 104 108 140 144 176 180 206 218 228 246 284	87630127866
STPT(10)	2046867545923361267	0 2 30 32 42 44 54 56 84 86	477481323540
SPT(16)	2046868074242459161	0 52 58 66 108 126 178 196 222 240 292 310 352 360 366 418	1005800421434
STPT(10)	2046868140656236661	0 2 30 32 78 80 126 128 156 158	1072214198934