Prime p₀= 2944644489345279401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 4 2 10 2 76 2 28 2 88 2 (?)
a_n: 0 2 30 32 36 38 48 50 126 128 156 158 246 248
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: 248
Found by: [SG-FC] hl
db: batch=82, k=14, 28 4 10 76 28 88

STPT(10)	2944643989937705351	0 2 6 8 18 20 30 32 36 38	-499407574050
SPT(16)	2944644049533585467	0 12 24 60 92 104 110 122 204 216 222 234 266 302 314 326	-439811693934
STPT(10)	2944644065125529717	0 2 30 32 42 44 54 56 84 86	-424219749684
SPT(16)	2944644119051696129	0 38 54 60 68 80 90 104 144 158 168 180 188 194 210 248	-370293583272
SPT(16)	2944644132855140789	0 42 54 62 68 108 110 134 138 162 164 204 210 218 230 272	-356490138612
STPT(10)	2944644229173207887	0 2 42 44 72 74 102 104 144 146	-260172071514
SPT(16)	2944644634387476359	0 8 42 50 54 114 128 150 152 174 188 248 252 260 294 302	145042196958
TPT(14)	2944644767159257361	0 2 6 8 90 92 180 182 246 248 258 260 300 302	277813977960
SPT(16)	2944644767856842597	0 24 42 86 156 192 206 222 224 240 254 290 360 404 422 446	278511563196
SPT(16)	2944644944029631299	0 52 84 94 112 120 142 160 354 372 394 402 420 430 462 514	454684351898
TPT(16)	2944645698697691759	0 2 108 110 138 140 168 170 180 182 198 200 222 224 288 290	1209352412358