Prime p₀= 1016788780783699127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: HenkM
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1016787004532429521	0 46 76 108 156 240 286 318 328 360 406 490 538 570 600 646	-1776251269606
STPT(10)	1016787256338891647	0 2 30 32 42 44 54 56 84 86	-1524444807480
SPT(16)	1016787729430851613	0 4 16 28 30 120 130 144 250 264 274 364 366 378 390 394	-1051352847514
SPT(16)	1016788174557307637	0 6 50 66 140 144 146 162 254 270 272 276 350 366 410 416	-606226391490
SPT(16)	1016788276089558367	0 36 82 90 106 132 180 184 222 226 274 300 316 324 370 406	-504694140760
TPT(14)	1016788608564539297	0 2 54 56 60 62 90 92 102 104 132 134 144 146	-172219159830
SPT(16)	1016788845857989723	0 24 60 94 96 136 138 154 210 226 228 268 270 304 340 364	65074290596
TPT(14)	1016789605333722497	0 2 90 92 114 116 222 224 252 254 264 266 354 356	824550023370
SPT(16)	1016789637786540593	0 6 54 134 156 164 224 266 288 330 390 398 420 500 548 554	857002841466
STPT(10)	1016789655406086179	0 2 48 50 60 62 72 74 120 122	874622387052
STPT(10)	1016789803657363259	0 2 18 20 30 32 42 44 60 62	1022873664132