Prime p₀= 1273582765115650277 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 46 2 70 2 28 2 28 2 40 2 (?)
a_n: 0 2 72 74 120 122 192 194 222 224 252 254 294 296
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: 296
Found by: HenkM
db: batch=77, k=14, 70 46 70 28 28 40

TPT(14)	1273581203631992777	0 2 60 62 90 92 132 134 144 146 174 176 222 224	-1561483657500
STPT(10)	1273581247908862769	0 2 30 32 60 62 90 92 120 122	-1517206787508
SPT(16)	1273581845238182483	0 6 20 26 44 56 80 104 156 180 204 216 234 240 254 260	-919877467794
SPT(16)	1273581892071412639	0 22 30 34 70 72 84 114 148 178 190 192 228 232 240 262	-873044237638
STPT(10)	1273582150311910331	0 2 6 8 48 50 90 92 96 98	-614803739946
SPT(16)	1273582227644410843	0 24 34 60 70 78 118 130 168 180 220 228 238 264 274 298	-537471239434
STPT(10)	1273582833200733017	0 2 30 32 42 44 54 56 84 86	68085082740
SPT(16)	1273583006979453341	0 20 26 42 56 78 98 120 188 210 230 252 266 282 288 308	241863803064
STPT(10)	1273583297065838579	0 2 18 20 30 32 42 44 60 62	531950188302
STPT(10)	1273583379067940177	0 2 12 14 42 44 72 74 84 86	613952289900
SPT(16)	1273584018338290019	0 30 48 62 72 78 110 188 204 282 314 320 330 344 362 392	1253222639742