Prime p₀= 2601737758105368581 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 268 2 34 2 130 2 40 2 46 2 40 2 (?)
a_n: 0 2 270 272 306 308 438 440 480 482 528 530 570 572
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: 572
Found by: JayPi
db: batch=82, k=14, 268 34 130 40 46 40

SPT(16)	2601736800521277787	0 12 42 70 96 114 130 132 154 156 172 190 216 244 274 286	-957584090794
SPT(16)	2601736828575898691	0 32 56 60 66 86 98 122 186 210 222 242 248 252 276 308	-929529469890
SPT(16)	2601736937008904713	0 16 18 64 78 88 90 118 156 184 186 196 210 256 258 274	-821096463868
TPT(14)	2601737199354717629	0 2 30 32 162 164 210 212 240 242 342 344 372 374	-558750650952
SPT(16)	2601737345556690571	0 6 10 48 102 136 138 168 220 250 252 286 340 378 382 388	-412548678010
STPT(10)	2601737474257342217	0 2 24 26 42 44 60 62 84 86	-283848026364
STPT(10)	2601737811022852589	0 2 42 44 90 92 138 140 180 182	52917484008
TPT(14)	2601738174298643561	0 2 60 62 96 98 108 110 150 152 186 188 198 200	416193274980
SPT(16)	2601738569185859333	0 20 98 104 164 170 180 216 248 284 294 300 360 366 444 464	811080490752
STPT(10)	2601738961490516711	0 2 78 80 108 110 138 140 216 218	1203385148130
STPT(10)	2601739002819390491	0 2 36 38 78 80 120 122 156 158	1244714021910