Prime p₀= 1148254843541825021 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 76 2 10 2 58 2 40 2 94 2 (?)
a_n: 0 2 78 80 156 158 168 170 228 230 270 272 366 368
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: 368
Found by: crashtech
db: batch=76, k=14, 76 76 10 58 40 94

SPT(16)	1148253806022431467	0 30 60 142 150 192 220 274 282 336 364 406 414 496 526 556	-1037519393554
TPT(14)	1148253820981453091	0 2 6 8 48 50 138 140 168 170 180 182 246 248	-1022560371930
STPT(10)	1148254075811101067	0 2 54 56 72 74 90 92 144 146	-767730723954
SPT(16)	1148254153252761403	0 4 24 28 34 70 148 150 154 156 234 270 276 280 300 304	-690289063618
SPT(13)	1148254556721773047	0 30 150 210 222 240 252 264 282 294 354 474 504	-286820051974
SPT(16)	1148254622685937889	0 2 30 42 78 84 128 140 192 204 248 254 290 302 330 332	-220855887132
SPT(16)	1148254901355803467	0 36 64 90 132 150 162 196 210 244 256 274 316 342 370 406	57813978446
SPT(16)	1148255032462794769	0 52 78 100 108 220 232 258 262 288 300 412 420 442 468 520	188920969748
SPT(16)	1148255109016951343	0 18 24 36 56 80 116 134 150 168 204 228 248 260 266 284	265475126322
STPT(10)	1148255299461087869	0 2 18 20 30 32 42 44 60 62	455919262848
SPT(16)	1148255319617174887	0 40 60 84 130 132 154 166 180 192 214 216 262 286 306 346	476075349866