Prime p₀= 2612978239555337777 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 4 2 202 2 58 2 28 2 (?)
a_n: 0 2 12 14 54 56 60 62 264 266 324 326 354 356
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: 356
Found by: JayPi
db: batch=82, k=14, 10 40 4 202 58 28

TPT(14)	2612976562244060921	0 2 18 20 108 110 126 128 150 152 186 188 276 278	-1677311276856
SPT(16)	2612976571175712367	0 22 90 114 160 192 274 294 352 372 454 486 532 556 624 646	-1668379625410
SPT(16)	2612976768286428571	0 46 66 108 132 178 180 186 202 208 210 256 280 322 342 388	-1471268909206
SPT(16)	2612977212692672689	0 10 12 22 28 58 90 114 118 142 174 204 210 220 222 232	-1026862665088
SPT(16)	2612977562731137179	0 2 18 54 68 90 102 110 132 140 152 174 188 224 240 242	-676824200598
SPT(16)	2612977766503587313	0 28 48 94 120 178 204 210 238 244 270 328 354 400 420 448	-473051750464
STPT(10)	2612978411643350711	0 2 36 38 78 80 120 122 156 158	172088012934
STPT(10)	2612978696989574687	0 2 54 56 72 74 90 92 144 146	457434236910
SPT(18)	2612978807310804083	0 6 8 20 26 78 86 110 126 140 156 180 188 240 246 258 260 266	567755466306
STPT(10)	2612979216717198137	0 2 90 92 132 134 174 176 264 266	977161860360
SPT(16)	2612979281524255373	0 36 56 78 86 120 170 174 200 204 254 288 296 318 338 374	1041968917596