Prime p₀= 2315786903925859577 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: Orange Kid
db: batch=81, k=10, 2 88 2 40 2

SPT(18)	2315785298974088237	0 30 60 62 80 132 162 170 174 200 204 212 242 294 312 314 344 374	-1604951771340
STPT(10)	2315785381558983749	0 2 18 20 30 32 42 44 60 62	-1522366875828
SPT(16)	2315785519656602837	0 12 72 86 182 186 204 240 266 302 320 324 420 434 494 506	-1384269256740
SPT(16)	2315785629657423229	0 4 22 40 42 60 78 82 150 154 172 190 192 210 228 232	-1274268436348
SPT(16)	2315785706265855133	0 88 94 100 144 178 190 204 220 234 246 280 324 330 336 424	-1197660004444
SPT(18)	2315785998940414051	0 28 46 60 78 100 150 168 190 198 220 238 288 310 328 342 360 388	-904985445526
SPT(16)	2315787482515152719	0 50 78 84 98 128 140 164 168 192 204 234 248 254 282 332	578589293142
SPT(16)	2315787584994405077	0 2 20 30 72 122 140 150 254 264 282 332 374 384 402 404	681068545500
STPT(10)	2315787723351322949	0 2 42 44 120 122 198 200 240 242	819425463372
SPT(16)	2315787776249738239	0 12 22 30 114 124 144 148 204 208 228 238 322 330 340 352	872323878662
STPT(10)	2315787796664959649	0 2 42 44 90 92 138 140 180 182	892739100072