Prime p₀= 2646675646006591091 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 4 2 40 2 28 2 130 2 (?)
a_n: 0 2 60 62 90 92 96 98 138 140 168 170 300 302
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: 302
Found by: RFGuy_KCCO
db: batch=82, k=14, 58 28 4 40 28 130

SPT(16)	2646674596539380651	0 6 60 66 96 110 132 140 192 200 222 236 266 272 326 332	-1049467210440
STPT(10)	2646674642876257247	0 2 90 92 102 104 114 116 204 206	-1003130333844
SPT(16)	2646674912774385793	0 10 16 40 46 70 94 124 156 186 210 234 240 264 270 280	-733232205298
SPT(16)	2646674932624979299	0 10 42 58 84 108 114 138 184 208 214 238 264 280 312 322	-713381611792
SPT(16)	2646674970698443873	0 6 28 84 94 126 130 136 168 174 178 210 220 276 298 304	-675308147218
SPT(16)	2646674991884827723	0 10 36 46 66 94 108 120 154 166 180 208 228 238 264 274	-654121763368
TPT(14)	2646676293364459127	0 2 72 74 102 104 120 122 420 422 492 494 540 542	647357868036
STPT(10)	2646676437032281019	0 2 42 44 60 62 78 80 120 122	791025689928
STPT(10)	2646676467471533867	0 2 30 32 42 44 54 56 84 86	821464942776
STPT(10)	2646676643829991559	0 2 48 50 90 92 132 134 180 182	997823400468
SPT(16)	2646676740891261161	0 6 48 56 66 72 140 156 182 198 266 272 282 290 332 338	1094884670070