Prime p₀= 2522260286447767631 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 124 2 10 2 10 2 124 2 (?)
a_n: 0 2 126 128 138 140 150 152 276 278
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: 278
Found by: [SG-FC] hl
db: batch=82, k=10, 2 124 2 10 2

SPT(16)	2522258654718746941	0 70 72 88 126 130 132 156 202 226 228 232 270 286 288 358	-1631729020690
SPT(16)	2522258710617734273	0 8 80 104 108 110 128 170 174 216 234 236 240 264 336 344	-1575830033358
SPT(16)	2522258760214090319	0 2 8 44 104 114 132 144 158 170 188 198 258 294 300 302	-1526233677312
STPT(10)	2522259130086690287	0 2 42 44 72 74 102 104 144 146	-1156361077344
STPT(10)	2522259308216871887	0 2 42 44 72 74 102 104 144 146	-978230895744
TPT(14)	2522260278726967697	0 2 72 74 84 86 144 146 162 164 354 356 372 374	-7720799934
SPT(16)	2522260425692610809	0 20 44 108 150 162 192 222 290 320 350 362 404 468 492 512	139244843178
STPT(10)	2522260783181648051	0 2 6 8 48 50 90 92 96 98	496733880420
SPT(16)	2522260792010102303	0 24 84 96 110 140 174 180 194 200 234 264 278 290 350 374	505562334672
STPT(10)	2522260846875776057	0 2 42 44 102 104 162 164 204 206	560428008426
SPT(16)	2522261596102061629	0 18 58 70 78 82 142 148 204 210 270 274 282 294 334 352	1309654293998