Prime p₀= 2596604684256719597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2596602965092144241	0 2 36 38 78 80 120 122 156 158	-1719164575356
STPT(10)	2596603191506733677	0 2 30 32 72 74 114 116 144 146	-1492749985920
STPT(10)	2596603263119787617	0 2 90 92 150 152 210 212 300 302	-1421136931980
TPT(14)	2596603595538726269	0 2 12 14 42 44 60 62 150 152 192 194 210 212	-1088717993328
STPT(10)	2596603709774484491	0 2 6 8 48 50 90 92 96 98	-974482235106
STPT(10)	2596603847130464627	0 2 30 32 42 44 54 56 84 86	-837126254970
SPT(16)	2596604781880603691	0 8 38 42 66 96 108 138 140 170 182 212 236 240 270 278	97623884094
STPT(10)	2596604810257107047	0 2 30 32 72 74 114 116 144 146	126000387450
STPT(10)	2596604929499869499	0 2 30 32 180 182 330 332 360 362	245243149902
SPT(16)	2596604972520851603	0 26 36 54 80 86 108 114 230 236 258 264 290 308 318 344	288264132006
TPT(14)	2596605122166282317	0 2 60 62 72 74 102 104 192 194 210 212 252 254	437909562720