Prime p₀= 1953377039730750449 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 10 2 28 2 118 2 58 2 (?)
a_n: 0 2 48 50 90 92 102 104 132 134 252 254 312 314
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: 314
Found by: vaughan
db: batch=80, k=14, 46 40 10 28 118 58

SPT(16)	1953374779485804151	0 16 46 96 112 120 130 142 210 222 232 240 256 306 336 352	-2260244946298
SPT(16)	1953374869494873659	0 38 44 80 128 132 158 164 168 174 200 204 252 288 294 332	-2170235876790
STPT(10)	1953374963032476461	0 2 30 32 78 80 126 128 156 158	-2076698273988
SPT(13)	1953375728516544779	0 12 24 42 54 72 132 192 210 222 240 252 264	-1311214205670
SPT(16)	1953376419626259557	0 2 42 54 72 86 122 132 164 174 210 224 242 254 294 296	-620104490892
SPT(16)	1953376876181092471	0 36 46 76 90 102 120 148 180 208 226 238 252 282 292 328	-163549657978
SPT(16)	1953378423884785969	0 82 190 210 220 222 264 334 360 430 472 474 484 504 612 694	1384154035520
STPT(10)	1953378747333769541	0 2 36 38 78 80 120 122 156 158	1707603019092
STPT(10)	1953379144400036567	0 2 30 32 42 44 54 56 84 86	2104669286118
STPT(10)	1953379422886607297	0 2 84 86 162 164 240 242 324 326	2383155856848
SPT(16)	1953379445439287251	0 12 42 46 70 88 102 106 162 166 180 198 222 226 256 268	2405708536802