Prime p₀= 1056038279812568147 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)	1056037360562280097	0 24 42 52 94 114 144 210 256 322 352 372 414 424 442 466	-919250288050
STPT(10)	1056037589696363969	0 2 30 32 60 62 90 92 120 122	-690116204178
SPT(16)	1056037621456499867	0 56 66 84 110 132 182 252 314 384 434 456 482 500 510 566	-658356068280
SPT(16)	1056037765040487431	0 60 66 102 108 146 152 158 180 186 192 230 236 272 278 338	-514772080716
SPT(18)	1056038145887293841	0 72 96 116 128 132 152 158 182 186 210 216 236 240 252 272 296 368	-133925274306
TPT(14)	1056038242746426101	0 2 30 32 126 128 138 140 198 200 288 290 348 350	-37066142046
STPT(10)	1056038369190551177	0 2 54 56 72 74 90 92 144 146	89377983030
SPT(16)	1056038606155034563	0 6 24 28 90 120 174 190 234 250 304 334 396 400 418 424	326342466416
SPT(16)	1056039049621918823	0 14 30 38 54 104 110 138 140 168 174 224 240 248 264 278	769809350676
STPT(12)	1056039259960677437	0 2 42 44 54 56 90 92 102 104 144 146	980148109290
SPT(16)	1056039277274470343	0 18 30 78 84 110 116 140 264 288 294 320 326 374 386 404	997461902196