Prime p₀= 1144725992788103599 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 4 98 52 30 14 30 10 86 10 30 14 30 52 98 4 (?)
a_n: 0 4 102 154 184 198 228 238 324 334 364 378 408 460 558 562
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: 562
Found by: Putin Has a Small Dick
db: batch=76, k=16, 4 98 52 30 14 30 10 86

STPT(10)	1144725176924224307	0 2 24 26 42 44 60 62 84 86	-815863879292
SPT(16)	1144725238548065299	0 42 88 90 112 132 142 160 192 210 220 240 262 264 310 352	-754240038300
STPT(10)	1144725253041164489	0 2 30 32 60 62 90 92 120 122	-739746939110
SPT(16)	1144725343307307121	0 28 66 72 90 106 112 118 150 156 162 178 196 202 240 268	-649480796478
SPT(16)	1144725487140233291	0 2 18 80 90 96 152 156 182 186 242 248 258 320 336 338	-505647870308
SPT(16)	1144725707580607531	0 46 52 58 60 126 142 148 150 156 172 238 240 246 252 298	-285207496068
STPT(10)	1144726184857525901	0 2 36 38 78 80 120 122 156 158	192069422302
STPT(10)	1144726208340095201	0 2 6 8 18 20 30 32 36 38	215551991602
SPT(18)	1144726280218795871	0 38 72 78 102 200 318 392 408 422 438 512 630 728 752 758 792 830	287430692272
TPT(14)	1144726469525877671	0 2 66 68 108 110 240 242 270 272 318 320 336 338	476737774072
TPT(14)	1144726553772077201	0 2 6 8 48 50 78 80 90 92 120 122 156 158	560983973602