Prime p₀= 749621134086354767 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 226 2 70 2 214 2 70 2 (?)
a_n: 0 2 24 26 54 56 282 284 354 356 570 572 642 644
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: 644
Found by: schoussi
db: batch=73, k=14, 22 28 226 70 214 70

SPT(16)	749620826854978607	0 20 42 44 72 90 110 152 162 204 224 242 270 272 294 314	-307231376160
STPT(10)	749620879495995779	0 2 18 20 30 32 42 44 60 62	-254590358988
TPT(14)	749621003334453629	0 2 30 32 78 80 108 110 150 152 162 164 252 254	-130751901138
SPT(16)	749621114222505617	0 26 44 54 56 86 96 114 152 170 180 210 212 222 240 266	-19863849150
STPT(10)	749621115661856531	0 2 30 32 60 62 90 92 120 122	-18424498236
STPT(12)	749621125309556369	0 2 60 62 72 74 258 260 270 272 330 332	-8776798398
SPT(16)	749621539721177467	0 12 22 36 42 100 166 186 190 210 276 334 340 354 364 376	405634822700
SPT(16)	749621811352638821	0 2 18 20 60 62 86 90 128 132 156 158 198 200 216 218	677266284054
STPT(10)	749621906688399221	0 2 36 38 78 80 120 122 156 158	772602044454
STPT(10)	749621930868289277	0 2 30 32 42 44 54 56 84 86	796781934510
SPT(16)	749622267310132291	0 12 28 78 130 136 138 148 150 160 162 168 220 270 286 298	1133223777524