Prime p₀= 2598513826800666527 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: herby44
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2598511708768035989	0 24 32 54 62 80 110 144 230 264 294 312 320 342 350 374	-2118032630538
SPT(16)	2598511992721691521	0 16 18 46 52 60 96 118 150 172 208 216 222 250 252 268	-1834078975006
SPT(16)	2598512411707824013	0 6 24 58 90 94 124 154 180 210 240 244 276 310 328 334	-1415092842514
STPT(10)	2598512918926251449	0 2 12 14 90 92 168 170 180 182	-907874415078
STPT(10)	2598513635227771367	0 2 12 14 42 44 72 74 84 86	-191572895160
STPT(12)	2598513653953334177	0 2 12 14 54 56 90 92 132 134 144 146	-172847332350
STPT(10)	2598514137946515071	0 2 6 8 48 50 90 92 96 98	311145848544
SPT(16)	2598514494422968801	0 10 28 30 42 58 70 96 142 168 180 196 208 210 228 238	667622302274
STPT(12)	2598514876387830857	0 2 30 32 42 44 72 74 84 86 114 116	1049587164330
SPT(16)	2598515410120400257	0 12 16 22 34 54 132 142 144 154 232 252 264 270 274 286	1583319733730
SPT(16)	2598515498741732641	0 30 100 102 120 186 198 220 288 310 322 388 406 408 478 508	1671941066114