Prime p₀= 2598513635227771367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

STPT(10)	2598511258213695827	0 2 30 32 60 62 90 92 120 122	-2377014075540
SPT(13)	2598511299858978641	0 12 126 132 186 210 216 222 246 300 306 420 432	-2335368792726
SPT(16)	2598511708768035989	0 24 32 54 62 80 110 144 230 264 294 312 320 342 350 374	-1926459735378
SPT(16)	2598511992721691521	0 16 18 46 52 60 96 118 150 172 208 216 222 250 252 268	-1642506079846
SPT(16)	2598512411707824013	0 6 24 58 90 94 124 154 180 210 240 244 276 310 328 334	-1223519947354
STPT(10)	2598512918926251449	0 2 12 14 90 92 168 170 180 182	-716301519918
STPT(12)	2598513653953334177	0 2 12 14 54 56 90 92 132 134 144 146	18725562810
STPT(10)	2598513826800666527	0 2 30 32 42 44 54 56 84 86	191572895160
STPT(10)	2598514137946515071	0 2 6 8 48 50 90 92 96 98	502718743704
SPT(16)	2598514494422968801	0 10 28 30 42 58 70 96 142 168 180 196 208 210 228 238	859195197434
STPT(12)	2598514876387830857	0 2 30 32 42 44 72 74 84 86 114 116	1241160059490