Prime p₀= 2034973244059256231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 58 2 58 2 88 2 (?)
a_n: 0 2 90 92 150 152 210 212 300 302
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: 302
Found by: Dingo
db: batch=80, k=10, 2 88 2 58 2

SPT(16)	2034972529308322213	0 16 18 54 58 64 70 78 106 114 120 126 130 166 168 184	-714750934018
SPT(18)	2034972547049977141	0 6 12 22 40 52 76 126 132 166 172 222 246 258 276 286 292 298	-697009279090
STPT(10)	2034972588367624469	0 2 12 14 90 92 168 170 180 182	-655691631762
SPT(16)	2034972668593318381	0 6 42 48 58 70 88 90 208 210 228 240 250 256 292 298	-575465937850
SPT(16)	2034973112216614657	0 6 66 70 94 124 150 154 222 226 252 282 306 310 370 376	-131842641574
TPT(14)	2034973221038537621	0 2 6 8 30 32 48 50 216 218 228 230 240 242	-23020718610
STPT(10)	2034973746160580039	0 2 12 14 90 92 168 170 180 182	502101323808
SPT(16)	2034974307911926949	0 14 18 50 54 68 74 80 138 144 150 164 168 200 204 218	1063852670718
SPT(16)	2034974383137213733	0 4 10 34 90 124 150 178 210 238 264 298 354 378 384 388	1139077957502
SPT(16)	2034974441988072023	0 14 26 60 74 96 110 126 134 150 164 186 200 234 246 260	1197928815792
STPT(10)	2034974537637377669	0 2 12 14 90 92 168 170 180 182	1293578121438