Prime p₀= 1025555096676376949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: stoneageman
db: batch=76, k=10, 2 10 2 76 2

SPT(16)	1025554485953258483	0 26 56 66 110 134 140 146 264 270 276 300 344 354 384 410	-610723118466
STPT(10)	1025554577797951889	0 2 78 80 120 122 162 164 240 242	-518878425060
SPT(16)	1025554623883824833	0 66 74 78 116 120 194 200 204 210 284 288 326 330 338 404	-472792552116
SPT(16)	1025554842277816589	0 12 18 30 32 50 84 102 110 128 162 180 182 194 200 212	-254398560360
SPT(16)	1025554884066682147	0 72 94 114 142 190 246 252 304 310 366 414 442 462 484 556	-212609694802
STPT(10)	1025554895318405237	0 2 30 32 60 62 90 92 120 122	-201357971712
TPT(14)	1025555729402295197	0 2 12 14 54 56 84 86 192 194 210 212 240 242	632725918248
SPT(16)	1025556158882929567	0 90 130 136 150 154 160 166 180 186 192 196 210 216 256 346	1062206552618
SPT(16)	1025556161987068273	0 16 18 78 84 90 136 150 154 168 214 220 226 286 288 304	1065310691324
STPT(10)	1025556418829762789	0 2 12 14 30 32 48 50 60 62	1322153385840
SPT(16)	1025556545013593573	0 26 30 36 56 158 168 180 224 236 246 348 368 374 378 404	1448337216624