Prime p₀= 2591430542413259819 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2591428549840075367	0 36 44 132 144 146 170 204 212 246 270 272 284 372 380 416	-1992573184452
SPT(16)	2591428685183406877	0 12 54 120 172 180 222 240 364 382 424 432 484 550 592 604	-1857229852942
STPT(10)	2591429037894997997	0 2 54 56 72 74 90 92 144 146	-1504518261822
STPT(10)	2591429349113693321	0 2 36 38 78 80 120 122 156 158	-1193299566498
STPT(10)	2591429764088777837	0 2 30 32 42 44 54 56 84 86	-778324481982
STPT(10)	2591430439646240111	0 2 78 80 108 110 138 140 216 218	-102767019708
SPT(16)	2591430698868798929	0 2 30 102 104 108 114 140 192 218 224 228 230 302 330 332	156455539110
STPT(10)	2591430984736422077	0 2 30 32 42 44 54 56 84 86	442323162258
SPT(16)	2591431128379092911	0 20 32 66 72 80 90 156 176 242 252 260 266 300 312 332	585965833092
STPT(10)	2591431288929009251	0 2 6 8 48 50 90 92 96 98	746515749432
SPT(16)	2591431297790185987	0 16 34 70 96 112 120 184 222 286 294 310 336 372 390 406	755376926168