Prime p₀= 1012142377001309171 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 88 2 40 2 16 2 16 2 (?)
a_n: 0 2 48 50 78 80 168 170 210 212 228 230 246 248
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: HenkM
db: batch=76, k=14, 46 28 88 40 16 16

TPT(14)	1012141440022774727	0 2 72 74 84 86 162 164 204 206 222 224 240 242	-936978534444
STPT(10)	1012141520745016157	0 2 60 62 72 74 84 86 144 146	-856256293014
SPT(16)	1012141645503497191	0 18 30 36 42 46 60 70 78 88 102 106 112 118 130 148	-731497811980
SPT(16)	1012141694049344273	0 48 60 78 108 126 150 206 210 266 290 308 338 356 368 416	-682951964898
STPT(10)	1012141870406633579	0 2 18 20 30 32 42 44 60 62	-506594675592
STPT(10)	1012142305747736921	0 2 6 8 18 20 30 32 36 38	-71253572250
TPT(14)	1012142410245536807	0 2 12 14 24 26 72 74 180 182 210 212 312 314	33244227636
STPT(10)	1012142487109604657	0 2 42 44 72 74 102 104 144 146	110108295486
SPT(13)	1012142609714605883	0 24 48 78 114 150 204 258 294 330 360 384 408	232713296712
SPT(16)	1012142721890247781	0 16 36 42 52 70 78 106 192 220 228 246 256 262 282 298	344888938610
STPT(10)	1012142867490545849	0 2 42 44 60 62 78 80 120 122	490489236678