Prime p₀= 844421547561241187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 82 2 34 2 112 2 46 2 88 2 (?)
a_n: 0 2 30 32 114 116 150 152 264 266 312 314 402 404
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: 404
Found by: ChelseaOilman
db: batch=73, k=14, 28 82 34 112 46 88

SPT(16)	844420630433514523	0 46 54 58 96 124 198 226 228 256 330 358 396 400 408 454	-917127726664
TPT(14)	844420751681196449	0 2 60 62 138 140 168 170 180 182 198 200 222 224	-795880044738
STPT(10)	844420768805592611	0 2 6 8 48 50 90 92 96 98	-778755648576
STPT(10)	844421254079072609	0 2 42 44 60 62 78 80 120 122	-293482168578
SPT(16)	844421291883344683	0 16 18 54 58 78 88 100 144 156 166 186 190 226 228 244	-255677896504
STPT(10)	844421414718960311	0 2 36 38 78 80 120 122 156 158	-132842280876
STPT(10)	844421591927858771	0 2 30 32 78 80 126 128 156 158	44366617584
SPT(16)	844421624379826453	0 6 10 30 126 136 186 210 244 268 318 328 424 444 448 454	76818585266
STPT(10)	844421784732334397	0 2 30 32 42 44 54 56 84 86	237171093210
SPT(16)	844421834343408149	0 38 78 80 132 168 170 174 248 252 254 290 342 344 384 422	286782166962
SPT(16)	844422184416201161	0 2 12 36 72 80 108 110 168 170 198 206 242 266 276 278	636854959974