Prime p₀= 1956870287258875577 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: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	1956868872468029059	0 82 94 112 130 154 168 172 330 334 348 372 390 408 420 502	-1414790846518
SPT(16)	1956868880466648803	0 14 26 30 68 90 96 156 158 218 224 246 284 288 300 314	-1406792226774
SPT(16)	1956868983622470391	0 6 28 40 70 106 108 148 180 220 222 258 288 300 322 328	-1303636405186
TPT(14)	1956869185898153687	0 2 114 116 180 182 222 224 252 254 264 266 294 296	-1101360721890
STPT(10)	1956869391267431651	0 2 6 8 48 50 90 92 96 98	-895991443926
SPT(16)	1956870030700169957	0 14 42 80 114 120 144 164 240 260 284 290 324 362 390 404	-256558705620
SPT(16)	1956870596207736799	0 58 64 78 130 174 184 220 252 288 298 342 394 408 414 472	308948861222
SPT(16)	1956870619262557849	0 12 22 42 78 100 168 232 258 322 390 412 448 468 478 490	332003682272
TPT(14)	1956870949849645811	0 2 18 20 36 38 78 80 156 158 246 248 258 260	662590770234
STPT(10)	1956871492819488977	0 2 30 32 42 44 54 56 84 86	1205560613400
SPT(16)	1956871535902416383	0 20 24 38 104 110 126 204 290 368 384 390 456 470 474 494	1248643540806