Prime p₀= 2356887829546660427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Orange Kid
db: batch=81, k=10, 2 52 2 76 2

STPT(12)	2356886974703140301	0 2 48 50 90 92 198 200 240 242 288 290	-854843520126
SPT(16)	2356887310329534757	0 40 42 54 84 106 126 150 166 190 210 232 262 274 276 316	-519217125670
SPT(16)	2356887354571791493	0 4 18 34 46 70 84 96 118 130 144 168 180 196 210 214	-474974868934
STPT(10)	2356887362231645741	0 2 36 38 78 80 120 122 156 158	-467315014686
SPT(16)	2356887603932975671	0 18 28 46 70 108 130 186 280 336 358 396 420 438 448 466	-225613684756
TPT(14)	2356887700623901769	0 2 18 20 60 62 78 80 102 104 132 134 252 254	-128922758658
STPT(10)	2356887937568947379	0 2 18 20 60 62 102 104 120 122	108022286952
SPT(16)	2356887966647565523	0 18 46 58 84 100 118 126 148 156 174 190 216 228 256 274	137100905096
SPT(16)	2356888396858293523	0 16 30 70 114 120 136 150 154 168 184 190 234 274 288 304	567311633096
SPT(16)	2356888571364430801	0 42 70 90 162 172 190 196 222 228 246 256 328 348 376 418	741817770374
STPT(10)	2356889406343025369	0 2 12 14 30 32 48 50 60 62	1576796364942