Prime p₀= 2498237417933309357 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: Hightower
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2498236339837221931	0 10 28 70 72 106 120 138 220 238 252 286 288 330 348 358	-1078096087426
STPT(10)	2498236444037615291	0 2 6 8 48 50 90 92 96 98	-973895694066
STPT(10)	2498236531651609547	0 2 30 32 42 44 54 56 84 86	-886281699810
STPT(10)	2498236728597841871	0 2 6 8 48 50 90 92 96 98	-689335467486
SPT(16)	2498236756971829901	0 18 30 42 60 132 140 152 186 198 206 278 296 308 320 338	-660961479456
SPT(16)	2498236920739975757	0 14 20 84 90 96 116 146 264 294 314 320 326 390 396 410	-497193333600
SPT(16)	2498237431683483727	0 6 42 124 142 150 154 156 220 222 226 234 252 334 370 376	13750174370
SPT(16)	2498237645817081061	0 40 48 76 82 108 126 136 252 262 280 306 312 340 348 388	227883771704
STPT(10)	2498237822737667831	0 2 6 8 18 20 30 32 36 38	404804358474
STPT(10)	2498238012594707561	0 2 6 8 48 50 90 92 96 98	594661398204
SPT(16)	2498238909794657461	0 6 22 42 48 102 108 112 126 130 136 190 196 216 232 238	1491861348104