Prime p₀= 1958712052318348907 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 94 2 172 2 124 2 40 2 (?)
a_n: 0 2 30 32 54 56 150 152 324 326 450 452 492 494
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: 494
Found by: Landjunge
db: batch=80, k=14, 28 22 94 172 124 40

SPT(16)	1958711466283208491	0 18 28 52 112 136 142 148 150 156 162 186 246 270 280 298	-586035140416
SPT(16)	1958711495686892171	0 38 42 80 92 102 108 120 158 170 176 186 198 236 240 278	-556631456736
TPT(14)	1958711512384773257	0 2 12 14 24 26 42 44 114 116 150 152 180 182	-539933575650
SPT(16)	1958711678807354137	0 16 24 42 84 94 130 132 214 216 252 262 304 322 330 346	-373510994770
SPT(16)	1958711706898693009	0 28 40 118 124 130 162 198 214 250 282 288 294 372 384 412	-345419655898
STPT(10)	1958711738226456749	0 2 48 50 90 92 132 134 180 182	-314091892158
TPT(14)	1958712659674960991	0 2 96 98 126 128 156 158 168 170 258 260 300 302	607356612084
SPT(16)	1958712975315094709	0 12 14 44 54 78 104 132 140 168 194 218 228 258 260 272	922996745802
STPT(10)	1958713194550835267	0 2 30 32 42 44 54 56 84 86	1142232486360
SPT(16)	1958713250395147919	0 30 72 80 92 134 158 168 194 204 228 270 282 290 332 362	1198076799012
SPT(16)	1958713325732676017	0 24 36 42 66 84 92 150 176 234 242 260 284 290 302 326	1273414327110