Prime p₀= 2123260778606452127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: arkiss
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2123259091771049977	0 54 72 94 112 156 210 240 316 346 400 444 462 484 502 556	-1686835402150
STPT(10)	2123259094432816511	0 2 6 8 108 110 210 212 216 218	-1684173635616
STPT(12)	2123259153948123467	0 2 42 44 84 86 90 92 132 134 174 176	-1624658328660
TPT(14)	2123259681093321257	0 2 54 56 132 134 264 266 300 302 324 326 420 422	-1097513130870
STPT(10)	2123260067803431239	0 2 42 44 90 92 138 140 180 182	-710803020888
SPT(16)	2123260634470480229	0 14 20 32 44 54 72 104 168 200 218 228 240 252 258 272	-144135971898
TPT(14)	2123260950917821457	0 2 12 14 30 32 72 74 114 116 162 164 210 212	172311369330
SPT(16)	2123261139389450539	0 10 42 84 94 100 150 208 234 292 342 348 358 400 432 442	360782998412
SPT(16)	2123261372093621951	0 36 38 42 60 80 102 140 168 206 228 248 266 270 272 308	593487169824
SPT(16)	2123262177707682373	0 18 24 46 94 96 120 126 148 154 178 180 228 250 256 274	1399101230246
STPT(10)	2123262974068483601	0 2 6 8 48 50 90 92 96 98	2195462031474