Prime p₀= 2037118746905052917 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

STPT(10)	2037116538364103639	0 2 42 44 60 62 78 80 120 122	-2208540949278
SPT(16)	2037117420142954939	0 10 12 72 82 84 88 100 252 264 268 270 280 340 342 352	-1326762097978
SPT(16)	2037117584421423613	0 6 16 36 124 180 204 226 228 250 274 330 418 438 448 454	-1162483629304
SPT(16)	2037118017264473167	0 6 72 94 112 126 160 190 246 276 310 324 342 364 430 436	-729640579750
SPT(16)	2037118662176006249	0 18 54 78 98 114 144 168 170 194 224 240 260 284 320 338	-84729046668
STPT(10)	2037118729767930839	0 2 18 20 30 32 42 44 60 62	-17137122078
SPT(16)	2037118887181436939	0 74 110 114 140 144 174 180 242 248 278 282 308 312 348 422	140276384022
STPT(10)	2037118893335078549	0 2 138 140 150 152 162 164 300 302	146430025632
SPT(16)	2037119246712674041	0 30 42 46 52 100 112 120 298 306 318 366 372 376 388 418	499807621124
SPT(16)	2037119247331924699	0 40 42 48 124 150 192 202 270 280 322 348 424 430 432 472	500426871782
SPT(16)	2037119345621885339	0 2 14 48 84 104 114 122 180 188 198 218 254 288 300 302	598716832422