Prime p₀= 2124594237358469057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2124593212170375797	0 6 26 54 56 74 92 102 134 144 162 180 182 210 230 236	-1025188093260
SPT(16)	2124593221699972313	0 38 78 80 96 108 134 146 168 180 206 218 234 236 276 314	-1015658496744
STPT(10)	2124593483724340619	0 2 12 14 90 92 168 170 180 182	-753634128438
STPT(10)	2124593491071931961	0 2 6 8 48 50 90 92 96 98	-746286537096
STPT(10)	2124593856298288547	0 2 12 14 42 44 72 74 84 86	-381060180510
STPT(10)	2124594149392513157	0 2 60 62 72 74 84 86 144 146	-87965955900
STPT(10)	2124594264845539187	0 2 30 32 42 44 54 56 84 86	27487070130
SPT(16)	2124594793587143957	0 30 32 74 144 200 266 270 326 330 396 452 522 564 566 596	556228674900
SPT(16)	2124594907764092389	0 72 94 114 118 142 160 192 250 282 300 324 328 348 370 442	670405623332
STPT(10)	2124595096407845597	0 2 30 32 42 44 54 56 84 86	859049376540
SPT(16)	2124595195173081391	0 18 48 76 82 88 90 96 112 118 120 126 132 160 190 208	957814612334