Prime p₀= 824254783258742777 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: schoussi
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	824253431966396479	0 22 28 34 54 82 120 124 168 172 210 238 258 264 270 292	-1351292346298
STPT(10)	824253878306005247	0 2 60 62 72 74 84 86 144 146	-904952737530
TPT(14)	824254052959008167	0 2 12 14 84 86 114 116 150 152 192 194 222 224	-730299734610
SPT(16)	824254062428381471	0 38 50 68 132 138 150 168 242 260 272 278 342 360 372 410	-720830361306
SPT(18)	824254292844552727	0 10 34 132 160 174 210 240 264 280 304 334 370 384 412 510 534 544	-490414190050
SPT(16)	824254337125582039	0 24 34 52 54 84 88 102 160 174 178 208 210 228 238 262	-446133160738
SPT(16)	824254917363428983	0 4 34 46 60 70 76 90 130 144 150 160 174 186 216 220	134104686206
SPT(16)	824255169005254559	0 14 42 44 84 104 114 122 132 140 150 170 210 212 240 254	385746511782
STPT(10)	824255227678135007	0 2 30 32 42 44 54 56 84 86	444419392230
SPT(16)	824255370852400651	0 10 40 66 82 120 150 180 262 292 322 360 376 402 432 442	587593657874
SPT(20)	824255840010609373	0 6 48 168 204 208 300 310 330 334 360 364 384 394 486 490 526 646 688 694	1056751866596