Prime p₀= 1058144354216564357 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 10 2 28 2 4 2 40 2 (?)
a_n: 0 2 12 14 72 74 84 86 114 116 120 122 162 164
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 164
Found by: Theadalus
db: batch=76, k=14, 10 58 10 28 4 40

SPT(16)	1058143257479648393	0 6 18 50 54 104 126 140 174 188 210 260 264 296 308 314	-1096736915964
STPT(10)	1058143365173520149	0 2 18 20 30 32 42 44 60 62	-989043044208
STPT(10)	1058143676766863987	0 2 24 26 42 44 60 62 84 86	-677449700370
STPT(10)	1058143716628005989	0 2 18 20 60 62 102 104 120 122	-637588558368
SPT(16)	1058143925962963811	0 2 6 20 56 72 86 90 122 126 140 156 192 206 210 212	-428253600546
SPT(16)	1058144255703464311	0 16 46 78 96 100 106 132 196 222 228 232 250 282 312 328	-98513100046
SPT(16)	1058144478379965409	0 52 54 88 94 108 124 130 132 138 154 168 174 208 210 262	124163401052
STPT(10)	1058144503852372631	0 2 120 122 210 212 300 302 420 422	149635808274
STPT(10)	1058144580805562219	0 2 12 14 30 32 48 50 60 62	226588997862
SPT(16)	1058144898131950103	0 14 24 56 114 144 146 150 164 168 170 200 258 290 300 314	543915385746
SPT(16)	1058145054420571141	0 6 12 36 126 142 160 220 222 282 300 316 406 430 436 442	700204006784