Prime p₀= 2260831571798576839 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 58 50 52 8 42 18 52 20 52 18 42 8 52 50 58 (?)
a_n: 0 58 108 160 168 210 228 280 300 352 370 412 420 472 522 580
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 580
Found by: Rantanplan
db: batch=81, k=16, 58 50 52 8 42 18 52 20

SPT(16)	2260829808113645999	0 18 38 104 138 150 194 200 222 228 272 284 318 384 404 422	-1763684930840
TPT(14)	2260830239157571187	0 2 30 32 84 86 150 152 162 164 192 194 234 236	-1332641005652
STPT(10)	2260830242955501401	0 2 30 32 60 62 90 92 120 122	-1328843075438
STPT(10)	2260830438459831809	0 2 18 20 30 32 42 44 60 62	-1133338745030
STPT(10)	2260830621053612519	0 2 18 20 30 32 42 44 60 62	-950744964320
SPT(16)	2260831129539837557	0 6 24 26 36 44 50 84 92 126 132 140 150 152 170 176	-442258739282
SPT(16)	2260831868186472617	0 24 56 116 150 152 182 192 194 204 234 236 270 330 362 386	296387895778
STPT(10)	2260832228709313121	0 2 30 32 78 80 126 128 156 158	656910736282
STPT(10)	2260832294040652271	0 2 36 38 78 80 120 122 156 158	722242075432
STPT(10)	2260832341678595957	0 2 30 32 42 44 54 56 84 86	769880019118
SPT(16)	2260832656942986697	0 6 64 114 142 186 190 214 312 336 340 384 412 462 520 526	1085144409858