Prime p₀= 3074937240838171019 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 100 2 70 2 76 2 10 2 (?)
a_n: 0 2 42 44 78 80 180 182 252 254 330 332 342 344
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: 344
Found by: arkiss
db: batch=83, k=14, 40 34 100 70 76 10

SPT(16)	3074936494997852539	0 10 52 82 112 130 160 168 214 222 252 270 300 330 372 382	-745840318480
SPT(16)	3074936616239084923	0 28 34 54 58 84 126 156 208 238 280 306 310 330 336 364	-624599086096
SPT(16)	3074936755478095177	0 42 46 76 94 96 102 130 216 244 250 252 270 300 304 346	-485360075842
SPT(16)	3074936801791575209	0 14 24 30 80 90 114 140 258 284 308 318 368 374 384 398	-439046595810
SPT(16)	3074936813177820397	0 24 34 46 60 66 94 156 190 252 280 286 300 312 322 346	-427660350622
STPT(10)	3074937038017520717	0 2 30 32 42 44 54 56 84 86	-202820650302
STPT(10)	3074937346762477529	0 2 12 14 90 92 168 170 180 182	105924306510
SPT(16)	3074937430118708471	0 32 78 98 116 140 150 218 240 308 318 342 360 380 426 458	189280537452
SPT(16)	3074937485454815741	0 18 48 56 66 90 168 176 360 368 446 470 480 488 518 536	244616644722
STPT(10)	3074938298419831937	0 2 30 32 60 62 90 92 120 122	1057581660918
STPT(10)	3074938562279181779	0 2 18 20 30 32 42 44 60 62	1321441010760