Prime p₀= 2315856089684347841 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: Landjunge
db: batch=81, k=10, 2 76 2 58 2

SPT(16)	2315854683974741531	0 12 30 72 150 180 188 296 462 570 578 608 686 728 746 758	-1405709606310
SPT(16)	2315855243760128017	0 12 34 124 126 132 136 150 166 180 184 190 192 282 304 316	-845924219824
SPT(16)	2315855251712327881	0 40 52 72 76 118 132 168 190 226 240 282 286 306 318 358	-837972019960
SPT(13)	2315855333334749597	0 6 24 66 84 114 150 186 216 234 276 294 300	-756349598244
SPT(16)	2315855341252049327	0 14 26 56 80 84 86 104 132 150 152 156 180 210 222 236	-748432298514
STPT(10)	2315856013681148759	0 2 78 80 120 122 162 164 240 242	-76003199082
SPT(16)	2315856370899298211	0 90 102 140 216 248 260 270 308 318 330 362 438 476 488 578	281214950370
STPT(10)	2315856374683902101	0 2 6 8 18 20 30 32 36 38	284999554260
STPT(10)	2315856520599749339	0 2 42 44 60 62 78 80 120 122	430915401498
STPT(10)	2315856682610011139	0 2 18 20 30 32 42 44 60 62	592925663298
SPT(16)	2315856753372260821	0 28 72 120 130 142 150 220 378 448 456 468 478 526 570 598	663687912980