Prime p₀= 2948636374936074437 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 40 2 184 2 40 2 106 2 (?)
a_n: 0 2 30 32 42 44 84 86 270 272 312 314 420 422
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: 422
Found by: [SG-FC] hl
db: batch=82, k=14, 28 10 40 184 40 106

SPT(16)	2948634985458195997	0 34 40 66 82 90 94 124 132 162 166 174 190 216 222 256	-1389477878440
SPT(16)	2948635015169919461	0 78 116 152 158 200 228 266 282 320 348 390 396 432 470 548	-1359766154976
SPT(16)	2948635858894944377	0 12 26 66 96 104 150 174 242 266 312 320 350 390 404 416	-516041130060
SPT(16)	2948635869283016137	0 16 54 60 84 96 114 120 130 136 154 166 190 196 234 250	-505653058300
SPT(16)	2948635988674019899	0 12 30 34 72 78 114 160 162 208 244 250 288 292 310 322	-386262054538
STPT(10)	2948636137233645401	0 2 6 8 48 50 90 92 96 98	-237702429036
STPT(10)	2948636398066043351	0 2 6 8 18 20 30 32 36 38	23129968914
SPT(16)	2948636449755320393	0 24 56 80 84 104 116 180 200 264 276 296 300 324 356 380	74819245956
SPT(16)	2948636610331074409	0 60 64 70 94 118 162 178 204 220 264 288 312 318 322 382	235394999972
STPT(10)	2948636997285814529	0 2 30 32 60 62 90 92 120 122	622349740092
STPT(10)	2948637024355259717	0 2 30 32 42 44 54 56 84 86	649419185280