Prime p₀= 1051376170317261359 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=76, k=10, 2 16 2 10 2

STPT(10)	1051374746715932267	0 2 30 32 72 74 114 116 144 146	-1423601329092
STPT(10)	1051374954525209057	0 2 42 44 72 74 102 104 144 146	-1215792052302
STPT(10)	1051375588021398461	0 2 6 8 48 50 90 92 96 98	-582295862898
SPT(16)	1051375672954712459	0 14 30 92 104 144 224 260 294 330 410 450 462 524 540 554	-497362548900
SPT(16)	1051375752673181981	0 2 38 42 48 50 68 128 132 192 210 212 218 222 258 260	-417644079378
STPT(10)	1051376054521741979	0 2 30 32 60 62 90 92 120 122	-115795519380
TPT(14)	1051376635165836101	0 2 78 80 150 152 168 170 180 182 306 308 330 332	464848574742
STPT(10)	1051377056871974351	0 2 36 38 78 80 120 122 156 158	886554712992
TPT(14)	1051377219129227537	0 2 120 122 180 182 204 206 264 266 282 284 462 464	1048811966178
SPT(16)	1051377595495769687	0 14 32 62 74 84 90 132 134 176 182 192 204 234 252 266	1425178508328
SPT(16)	1051377968521174267	0 10 30 52 142 150 166 172 234 240 256 264 354 376 396 406	1798203912908