Prime p₀= 1058472550019779397 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Spectrum
db: batch=76, k=10, 2 22 2 16 2

STPT(10)	1058471662447416827	0 2 30 32 42 44 54 56 84 86	-887572362570
SPT(16)	1058471758373061301	0 66 90 118 136 148 150 180 346 376 378 390 408 436 460 526	-791646718096
TPT(14)	1058471824365712319	0 2 132 134 192 194 342 344 510 512 528 530 552 554	-725654067078
STPT(10)	1058471998433208221	0 2 36 38 78 80 120 122 156 158	-551586571176
SPT(16)	1058472049211585819	0 38 48 54 72 140 174 198 224 248 282 350 368 374 384 422	-500808193578
SPT(16)	1058472140877409651	0 22 30 40 42 72 100 112 138 150 178 208 210 220 228 250	-409142369746
STPT(10)	1058473082010169841	0 2 36 38 78 80 120 122 156 158	531990390444
SPT(16)	1058473193668967653	0 24 36 66 76 96 118 126 148 156 178 198 208 238 250 274	643649188256
SPT(16)	1058473224634984019	0 14 30 32 44 54 78 92 120 134 158 168 180 182 198 212	674615204622
STPT(10)	1058473278380734421	0 2 6 8 18 20 30 32 36 38	728360955024
SPT(16)	1058473372463756891	0 32 36 38 98 120 132 146 162 176 188 210 270 272 276 308	822443977494