Prime p₀= 2157240553191752837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2157239216118006883	0 70 100 136 144 156 196 220 234 258 298 310 318 354 384 454	-1337073745954
SPT(16)	2157239237356312259	0 2 20 38 42 50 120 138 164 182 252 260 264 282 300 302	-1315835440578
SPT(16)	2157239408632218947	0 12 26 54 66 86 102 122 144 164 180 200 212 240 254 266	-1144559533890
STPT(10)	2157239511353340761	0 2 6 8 48 50 90 92 96 98	-1041838412076
SPT(16)	2157240004430516959	0 42 52 142 144 150 154 162 220 228 232 238 240 330 340 382	-548761235878
STPT(10)	2157240479355443927	0 2 30 32 42 44 54 56 84 86	-73836308910
SPT(16)	2157240553340533993	0 10 30 36 76 100 120 178 258 316 336 360 400 406 426 436	148781156
SPT(20)	2157240682316346397	0 24 46 64 130 190 220 240 312 322 354 364 436 456 486 546 612 630 652 676	129124593560
SPT(16)	2157240887132990797	0 4 90 94 130 132 144 216 250 322 334 336 372 376 462 466	333941237960
SPT(16)	2157241145658086053	0 40 46 54 90 130 186 196 198 208 264 304 340 348 354 394	592466333216
TPT(14)	2157241187908759439	0 2 42 44 48 50 180 182 210 212 300 302 312 314	634717006602