Prime p₀= 741743567778833927 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 76 2 10 2 34 2 28 2 10 2 (?)
a_n: 0 2 24 26 102 104 114 116 150 152 180 182 192 194
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: 194
Found by: Theadalus
db: batch=73, k=14, 22 76 10 34 28 10

STPT(10)	741743039186543789	0 2 48 50 90 92 132 134 180 182	-528592290138
STPT(12)	741743123957511497	0 2 42 44 84 86 120 122 162 164 204 206	-443821322430
SPT(16)	741743227703210279	0 2 8 44 92 108 144 180 182 218 254 270 318 354 360 362	-340075623648
STPT(10)	741743309769457319	0 2 18 20 30 32 42 44 60 62	-258009376608
SPT(16)	741743388042138073	0 34 76 88 138 144 154 160 174 180 190 196 246 258 300 334	-179736695854
SPT(16)	741743537408618567	0 20 56 102 110 114 132 162 194 224 242 246 254 300 336 356	-30370215360
TPT(14)	741743859984837551	0 2 6 8 78 80 186 188 216 218 240 242 246 248	292206003624
STPT(10)	741743932111823621	0 2 120 122 138 140 156 158 276 278	364332989694
SPT(16)	741743961197725729	0 12 52 84 94 102 154 180 202 228 280 288 298 330 370 382	393418891802
SPT(16)	741744358949412131	0 26 60 120 152 176 186 200 252 266 276 300 332 392 426 452	791170578204
SPT(16)	741745284722068771	0 16 42 48 58 72 78 82 156 160 166 180 190 196 222 238	1716943234844