Prime p₀= 2623718667088512767 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2623717508417953331	0 30 60 96 102 108 126 140 168 182 200 206 212 248 278 308	-1158670559436
SPT(16)	2623717747378525001	0 72 92 98 128 162 182 200 210 228 248 282 312 318 338 410	-919709987766
SPT(16)	2623717807336983803	0 36 90 188 264 266 288 294 320 326 348 350 426 524 578 614	-859751528964
SPT(16)	2623718278581486917	0 26 42 152 180 186 260 266 270 276 350 356 384 494 510 536	-388507025850
SPT(16)	2623718517556810559	0 42 48 62 68 74 90 134 138 182 198 204 210 224 230 272	-149531702208
STPT(10)	2623718536655187077	0 2 30 32 42 44 54 56 84 86	-130433325690
SPT(16)	2623719109005875371	0 22 36 78 88 96 130 166 192 228 262 270 280 322 336 358	441917362604
STPT(10)	2623719851663771459	0 2 18 20 30 32 42 44 60 62	1184575258692
STPT(10)	2623719861270440741	0 2 6 8 48 50 90 92 96 98	1194181927974
SPT(16)	2623719876591252707	0 30 32 42 60 104 134 162 182 210 240 284 302 312 314 344	1209502739940
STPT(10)	2623719966132172799	0 2 78 80 150 152 222 224 300 302	1299043660032