Prime p₀= 2706801976921243301 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 70 2 76 2 10 2 28 2 40 2 (?)
a_n: 0 2 6 8 78 80 156 158 168 170 198 200 240 242
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: JayPi
db: batch=82, k=14, 4 70 76 10 28 40

SPT(16)	2706800683294054069	0 4 34 42 64 84 90 108 154 172 178 198 220 228 258 262	-1293627189232
SPT(16)	2706801043619472419	0 14 42 54 68 72 110 114 158 162 200 204 218 230 258 272	-933301770882
STPT(10)	2706801615343429661	0 2 36 38 78 80 120 122 156 158	-361577813640
SPT(16)	2706801633102096083	0 8 14 54 68 156 198 210 254 266 308 396 410 450 456 464	-343819147218
STPT(10)	2706801674392976099	0 2 18 20 30 32 42 44 60 62	-302528267202
STPT(10)	2706801892875143879	0 2 12 14 30 32 48 50 60 62	-84046099422
SPT(16)	2706802642979409313	0 28 40 54 94 124 136 150 184 198 210 240 280 294 306 334	666058166012
STPT(10)	2706803123619488627	0 2 24 26 42 44 60 62 84 86	1146698245326
STPT(10)	2706803394704200679	0 2 18 20 30 32 42 44 60 62	1417782957378
SPT(16)	2706803613593503351	0 12 126 132 148 198 208 252 286 330 340 390 406 412 526 538	1636672260050
SPT(16)	2706804548715250057	0 60 72 76 126 132 142 196 216 270 280 286 336 340 352 412	2571794006756