Prime p₀= 2300096146767232787 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

TPT(14)	2300094842657518787	0 2 12 14 84 86 102 104 150 152 180 182 210 212	-1304109714000
SPT(16)	2300095258894305619	0 4 28 40 82 88 108 208 234 334 354 360 402 414 438 442	-887872927168
SPT(16)	2300095309553457379	0 82 94 124 132 148 174 204 208 238 264 280 288 318 330 412	-837213775408
SPT(18)	2300095338807068701	0 30 78 96 132 136 142 160 166 192 198 216 222 226 262 280 328 358	-807960164086
SPT(16)	2300095739465741773	0 10 24 70 84 150 180 184 204 208 238 304 318 364 378 388	-407301491014
STPT(10)	2300096074820293661	0 2 6 8 18 20 30 32 36 38	-71946939126
STPT(10)	2300096687837679737	0 2 30 32 42 44 54 56 84 86	541070446950
SPT(20)	2300096692017766909	0 18 64 78 102 138 144 148 168 210 352 394 414 418 424 460 484 498 544 562	545250534122
SPT(16)	2300097729407625929	0 8 42 48 60 80 92 104 138 150 162 182 194 200 234 242	1582640393142
STPT(10)	2300097805322427347	0 2 12 14 42 44 72 74 84 86	1658555194560
SPT(16)	2300098053022695521	0 12 26 30 32 102 116 140 168 192 206 276 278 282 296 308	1906255462734