Prime p₀= 1058143676766863987 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: Theadalus
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1058142655140969569	0 8 54 68 98 110 114 140 168 194 198 210 240 254 300 308	-1021625894418
TPT(14)	1058143063503256349	0 2 12 14 90 92 108 110 168 170 180 182 192 194	-613263607638
SPT(16)	1058143196277505631	0 18 60 108 138 186 200 222 236 258 272 320 350 398 440 458	-480489358356
STPT(10)	1058143212036312299	0 2 18 20 30 32 42 44 60 62	-464730551688
SPT(16)	1058143257479648393	0 6 18 50 54 104 126 140 174 188 210 260 264 296 308 314	-419287215594
STPT(10)	1058143365173520149	0 2 18 20 30 32 42 44 60 62	-311593343838
STPT(10)	1058143716628005989	0 2 18 20 60 62 102 104 120 122	39861142002
SPT(16)	1058143925962963811	0 2 6 20 56 72 86 90 122 126 140 156 192 206 210 212	249196099824
SPT(16)	1058144255703464311	0 16 46 78 96 100 106 132 196 222 228 232 250 282 312 328	578936600324
TPT(14)	1058144354216564357	0 2 12 14 72 74 84 86 114 116 120 122 162 164	677449700370
SPT(16)	1058144478379965409	0 52 54 88 94 108 124 130 132 138 154 168 174 208 210 262	801613101422