Prime p₀= 2597723603358756557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: RFGuy_KCCO
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2597721630172997957	0 2 30 32 72 74 114 116 144 146	-1973185758600
SPT(16)	2597722044252520253	0 66 78 96 98 110 158 164 180 186 234 246 248 266 278 344	-1559106236304
STPT(10)	2597722612904296781	0 2 78 80 138 140 198 200 276 278	-990454459776
STPT(10)	2597722669135401089	0 2 42 44 60 62 78 80 120 122	-934223355468
STPT(10)	2597722803315217397	0 2 30 32 42 44 54 56 84 86	-800043539160
STPT(10)	2597722859690591837	0 2 12 14 42 44 72 74 84 86	-743668164720
SPT(16)	2597723950059550729	0 40 70 112 130 132 184 204 418 438 490 492 510 552 582 622	346700794172
SPT(16)	2597724006417110953	0 78 130 154 184 198 204 228 310 334 340 354 384 408 460 538	403058354396
SPT(16)	2597724225392930831	0 2 92 98 176 198 212 222 236 246 260 282 360 366 456 458	622034174274
SPT(16)	2597724780751709549	0 12 78 90 108 110 218 230 240 252 360 362 380 392 458 470	1177392952992
SPT(16)	2597725135785857837	0 2 44 56 60 104 126 146 180 200 222 266 270 282 324 326	1532427101280