Prime p₀= 1465025509521743459 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: JonS
db: batch=78, k=10, 2 10 2 76 2

STPT(10)	1465024042588309961	0 2 6 8 18 20 30 32 36 38	-1466933433498
SPT(16)	1465024321843146401	0 8 18 36 80 86 98 116 120 138 150 156 200 218 228 236	-1187678597058
SPT(16)	1465024356050811449	0 78 80 200 234 284 312 348 374 410 438 488 522 642 644 722	-1153470932010
SPT(16)	1465024897776862043	0 14 26 56 108 140 168 180 194 206 234 266 318 348 360 374	-611744881416
SPT(16)	1465024932767802767	0 32 54 56 102 110 140 176 270 306 336 344 390 392 414 446	-576753940692
STPT(10)	1465025181509211689	0 2 48 50 90 92 132 134 180 182	-328012531770
TPT(14)	1465026042626143889	0 2 48 50 78 80 108 110 150 152 210 212 222 224	533104400430
SPT(16)	1465026693802944193	0 36 54 88 120 160 174 204 220 250 264 304 336 370 388 424	1184281200734
STPT(10)	1465027061434652897	0 2 30 32 42 44 54 56 84 86	1551912909438
STPT(10)	1465027538335985537	0 2 90 92 132 134 174 176 264 266	2028814242078
SPT(16)	1465027635148958921	0 36 42 60 62 102 108 146 372 410 416 456 458 476 482 518	2125627215462