Prime p₀= 2379146085185914727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 10 2 58 2

SPT(16)	2379143671603042681	0 42 60 72 78 82 96 102 316 322 336 340 346 358 376 418	-2413582872046
STPT(10)	2379144372797031107	0 2 30 32 72 74 114 116 144 146	-1712388883620
SPT(16)	2379144863043991423	0 16 30 36 40 66 106 120 154 168 208 234 238 244 258 274	-1222141923304
SPT(16)	2379144892758907193	0 78 98 110 120 134 258 260 264 266 390 404 414 426 446 524	-1192427007534
SPT(16)	2379145413779345023	0 46 106 108 120 126 156 184 360 388 418 424 436 438 498 544	-671406569704
STPT(10)	2379146050491804071	0 2 30 32 78 80 126 128 156 158	-34694110656
SPT(16)	2379146577093636173	0 6 20 26 48 54 80 84 200 204 230 236 258 264 278 284	491907721446
SPT(16)	2379146643945507463	0 10 54 88 130 136 144 154 240 250 258 264 306 340 384 394	558759592736
STPT(10)	2379146648767073369	0 2 30 32 60 62 90 92 120 122	563581158642
SPT(16)	2379146652436173187	0 24 42 66 72 84 240 280 306 346 502 514 520 544 562 586	567250258460
TPT(14)	2379146686609254167	0 2 84 86 132 134 144 146 180 182 240 242 264 266	601423339440