Prime p₀= 1037869816537277567 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1037869110429399587	0 6 56 62 72 114 120 122 174 176 182 224 234 240 290 296	-706107877980
SPT(16)	1037869319065912727	0 44 56 72 102 114 140 174 182 216 242 254 284 300 312 356	-497471364840
SPT(16)	1037869400007751459	0 30 54 88 120 124 130 142 210 222 228 232 264 298 322 352	-416529526108
SPT(16)	1037869416690634903	0 30 40 78 126 160 190 196 258 264 294 328 376 414 424 454	-399846642664
SPT(16)	1037869467193497247	0 4 24 40 66 114 130 162 214 246 262 310 336 352 372 376	-349343780320
STPT(10)	1037869646703938591	0 2 6 8 48 50 90 92 96 98	-169833338976
STPT(10)	1037869840421528369	0 2 12 14 90 92 168 170 180 182	23884250802
SPT(16)	1037870253882438127	0 34 46 106 120 154 214 240 286 312 372 406 420 480 492 526	437345160560
STPT(10)	1037871057657529631	0 2 6 8 48 50 90 92 96 98	1241120252064
SPT(16)	1037871143708393317	0 22 70 82 162 180 204 250 306 352 376 394 474 486 534 556	1327171115750
STPT(10)	1037871264522617027	0 2 24 26 42 44 60 62 84 86	1447985339460