Prime p₀= 2323309267147008599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: eclipse99
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2323308152682109231	0 22 52 60 70 72 112 126 136 150 190 192 202 210 240 262	-1114464899368
SPT(16)	2323308300042382651	0 10 12 60 82 118 150 162 388 400 432 468 490 538 540 550	-967104625948
STPT(10)	2323308376945495787	0 2 12 14 42 44 72 74 84 86	-890201512812
TPT(14)	2323308407243561369	0 2 102 104 162 164 168 170 228 230 258 260 288 290	-859903447230
SPT(16)	2323308658772287387	0 40 64 70 90 94 120 196 354 430 456 460 480 486 510 550	-608374721212
SPT(16)	2323309057377274969	0 18 22 34 70 78 88 160 162 234 244 252 288 300 304 322	-209769733630
TPT(14)	2323309781040461921	0 2 30 32 36 38 66 68 78 80 120 122 180 182	513893453322
STPT(10)	2323309827801435659	0 2 18 20 30 32 42 44 60 62	560654427060
STPT(10)	2323310057679226079	0 2 48 50 60 62 72 74 120 122	790532217480
TPT(14)	2323310274542064149	0 2 12 14 60 62 138 140 168 170 192 194 198 200	1007395055550
SPT(16)	2323310499538195261	0 6 12 22 40 42 48 76 162 190 196 198 216 226 232 238	1232391186662