Prime p₀= 2291144463369696029 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 34 2 58 2 10 2 28 2 (?)
a_n: 0 2 60 62 102 104 138 140 198 200 210 212 240 242
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: 242
Found by: Orange Kid
db: batch=81, k=14, 58 40 34 58 10 28

STPT(10)	2291142426394221077	0 2 60 62 72 74 84 86 144 146	-2036975474952
TPT(14)	2291143005336305891	0 2 78 80 108 110 156 158 168 170 180 182 198 200	-1458033390138
STPT(10)	2291143132356885797	0 2 42 44 72 74 102 104 144 146	-1331012810232
STPT(10)	2291143437900793907	0 2 54 56 72 74 90 92 144 146	-1025468902122
SPT(16)	2291143493979867151	0 48 52 66 72 102 150 186 202 238 286 316 322 336 340 388	-969389828878
SPT(16)	2291143510328230639	0 34 54 78 120 130 138 148 180 190 198 208 250 274 294 328	-953041465390
SPT(18)	2291144548738015151	0 26 42 48 80 102 150 188 318 350 480 518 566 588 620 626 642 668	85368319122
STPT(10)	2291144648577927029	0 2 18 20 30 32 42 44 60 62	185208231000
STPT(10)	2291144856039204551	0 2 78 80 138 140 198 200 276 278	392669508522
TPT(14)	2291144939565548327	0 2 30 32 162 164 174 176 240 242 252 254 354 356	476195852298
SPT(16)	2291145252202146811	0 30 66 72 108 118 120 132 136 148 150 160 196 202 238 268	788832450782