Prime p₀= 2049923182587142787 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: JonS
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2049921209159678083	0 4 34 78 88 94 118 144 154 180 204 210 220 264 294 298	-1973427464704
TPT(14)	2049921683912959301	0 2 18 20 30 32 96 98 156 158 186 188 198 200	-1498674183486
STPT(10)	2049922005698206691	0 2 6 8 18 20 30 32 36 38	-1176888936096
STPT(10)	2049922444278408611	0 2 6 8 18 20 30 32 36 38	-738308734176
SPT(16)	2049922741231800263	0 30 38 54 96 108 126 170 234 278 296 308 350 366 374 404	-441355342524
STPT(10)	2049922800040279991	0 2 30 32 78 80 126 128 156 158	-382546862796
SPT(16)	2049923363005307521	0 6 12 90 156 160 202 216 316 330 372 376 442 520 526 532	180418164734
TPT(14)	2049923504656019717	0 2 30 32 60 62 84 86 114 116 174 176 180 182	322068876930
TPT(14)	2049923532658154717	0 2 102 104 114 116 144 146 264 266 312 314 324 326	350071011930
SPT(16)	2049923692492700617	0 10 46 112 120 132 160 190 216 246 274 286 294 360 396 406	509905557830
SPT(16)	2049924003394790851	0 16 40 66 72 96 118 126 142 150 172 196 202 228 252 268	820807648064