Prime p₀= 2315749624541997737 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Landjunge
db: batch=81, k=10, 2 28 2 28 2

STPT(10)	2315748063652200377	0 2 54 56 72 74 90 92 144 146	-1560889797360
SPT(16)	2315748362682297203	0 20 26 30 36 48 56 68 156 168 176 188 194 198 204 224	-1261859700534
SPT(16)	2315748749768871419	0 8 72 78 92 98 134 140 162 168 204 210 224 230 294 302	-874773126318
SPT(16)	2315748867635100853	0 28 148 160 184 186 198 208 246 256 268 270 294 306 426 454	-756906896884
SPT(16)	2315749200440951683	0 16 24 28 58 70 84 90 94 100 114 126 156 160 168 184	-424101046054
STPT(10)	2315749279288650761	0 2 6 8 48 50 90 92 96 98	-345253346976
STPT(10)	2315749952309322119	0 2 48 50 90 92 132 134 180 182	327767324382
SPT(16)	2315750331929175787	0 22 34 76 84 90 112 244 282 414 436 442 450 492 504 526	707387178050
STPT(10)	2315750591595442829	0 2 42 44 60 62 78 80 120 122	967053445092
STPT(10)	2315751069332015267	0 2 30 32 42 44 54 56 84 86	1444790017530
TPT(14)	2315751277558104539	0 2 102 104 108 110 168 170 228 230 240 242 282 284	1653016106802