Prime p₀= 2031189781462364177 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: Landjunge
db: batch=80, k=10, 2 88 2 40 2

SPT(16)	2031188830311968581	0 18 30 70 78 88 172 202 228 258 342 352 360 400 412 430	-951150395596
SPT(16)	2031189350030378843	0 44 54 68 74 114 120 134 180 194 200 240 246 260 270 314	-431431985334
SPT(16)	2031189501653183621	0 12 18 32 80 110 162 170 318 326 378 408 456 470 476 488	-279809180556
STPT(10)	2031189504424888037	0 2 24 26 42 44 60 62 84 86	-277037476140
STPT(10)	2031189599997448937	0 2 12 14 72 74 132 134 144 146	-181464915240
SPT(16)	2031189642784346683	0 6 28 48 60 66 70 100 144 174 178 184 196 216 238 244	-138678017494
SPT(13)	2031189971515487773	0 6 30 90 126 156 168 180 210 246 306 330 336	190053123596
SPT(16)	2031190409593009813	0 46 54 66 88 108 124 166 198 240 256 276 298 310 318 364	628130645636
SPT(16)	2031190717065933547	0 12 42 76 82 90 106 126 160 180 196 204 210 244 274 286	935603569370
SPT(16)	2031190771331631997	0 6 22 24 70 126 180 220 306 346 400 456 502 504 520 526	989869267820
SPT(16)	2031190949309701331	0 8 12 32 78 98 120 122 138 140 162 182 228 248 252 260	1167847337154