Prime p₀= 844420751681196449 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 76 2 28 2 10 2 16 2 22 2 (?)
a_n: 0 2 60 62 138 140 168 170 180 182 198 200 222 224
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: 224
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 58 76 28 10 16 22

STPT(10)	844420210156451177	0 2 12 14 72 74 132 134 144 146	-541524745272
SPT(16)	844420348429998839	0 20 38 72 98 174 182 198 224 240 248 324 350 384 402 422	-403251197610
STPT(10)	844420407917274449	0 2 18 20 30 32 42 44 60 62	-343763922000
STPT(10)	844420526287444859	0 2 18 20 30 32 42 44 60 62	-225393751590
SPT(16)	844420588495211803	0 18 36 40 54 60 64 124 150 210 214 220 234 238 256 274	-163185984646
SPT(16)	844420630433514523	0 46 54 58 96 124 198 226 228 256 330 358 396 400 408 454	-121247681926
STPT(10)	844420768805592611	0 2 6 8 48 50 90 92 96 98	17124396162
STPT(10)	844421254079072609	0 2 42 44 60 62 78 80 120 122	502397876160
SPT(16)	844421291883344683	0 16 18 54 58 78 88 100 144 156 166 186 190 226 228 244	540202148234
STPT(10)	844421414718960311	0 2 36 38 78 80 120 122 156 158	663037763862
TPT(14)	844421547561241187	0 2 30 32 114 116 150 152 264 266 312 314 402 404	795880044738