Prime p₀= 2157415887080622137 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 10 2 58 2

STPT(10)	2157413135263832651	0 2 6 8 18 20 30 32 36 38	-2751816789486
TPT(14)	2157413799936926357	0 2 72 74 204 206 234 236 264 266 294 296 360 362	-2087143695780
STPT(10)	2157413870164194527	0 2 54 56 72 74 90 92 144 146	-2016916427610
SPT(16)	2157414507349468999	0 30 108 132 150 184 210 234 238 262 288 322 340 364 442 472	-1379731153138
SPT(16)	2157414846036232751	0 12 26 38 42 72 80 92 126 138 146 176 180 192 206 218	-1041044389386
TPT(14)	2157415001675611439	0 2 102 104 150 152 180 182 222 224 240 242 348 350	-885405010698
STPT(10)	2157416294833647077	0 2 24 26 42 44 60 62 84 86	407753024940
SPT(16)	2157416604475840051	0 88 138 186 198 220 226 276 340 390 396 418 430 478 528 616	717395217914
TPT(14)	2157417420039484637	0 2 24 26 192 194 222 224 264 266 282 284 312 314	1532958862500
SPT(16)	2157417659433980893	0 24 28 34 36 60 70 78 136 144 154 178 180 186 190 214	1772353358756
SPT(16)	2157417939890702453	0 104 126 128 150 156 198 216 248 266 308 314 336 338 360 464	2052810080316