Prime p₀= 1058111432165107259 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: Theadalus
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	1058109390953024477	0 20 26 90 92 132 140 182 300 342 350 390 392 456 462 482	-2041212082782
SPT(16)	1058109451898159083	0 34 48 64 70 106 114 148 216 250 258 294 300 316 330 364	-1980266948176
STPT(10)	1058109968241449909	0 2 42 44 60 62 78 80 120 122	-1463923657350
SPT(16)	1058110216672952297	0 24 26 74 114 140 144 156 164 176 180 206 246 294 296 320	-1215492154962
SPT(16)	1058110734613352081	0 6 8 36 48 56 78 90 146 158 180 188 200 228 230 236	-697551755178
SPT(16)	1058111310011184293	0 8 60 74 78 144 168 204 260 296 320 386 390 404 456 464	-122153922966
STPT(10)	1058111689520470757	0 2 30 32 42 44 54 56 84 86	257355363498
SPT(16)	1058111875236874313	0 8 36 38 44 60 78 108 176 206 224 240 246 248 276 284	443071767054
STPT(10)	1058111902883813681	0 2 36 38 78 80 120 122 156 158	470718706422
STPT(10)	1058111976715488419	0 2 48 50 90 92 132 134 180 182	544550381160
STPT(10)	1058112070818501497	0 2 30 32 42 44 54 56 84 86	638653394238