Prime p₀= 1112220780749566667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 4 2 118 2 40 2 88 2 (?)
a_n: 0 2 54 56 84 86 90 92 210 212 252 254 342 344
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: 344
Found by: Fardringle
db: batch=76, k=14, 52 28 4 118 40 88

STPT(10)	1112219439913383161	0 2 6 8 48 50 90 92 96 98	-1340836183506
STPT(10)	1112219684890650599	0 2 48 50 90 92 132 134 180 182	-1095858916068
SPT(16)	1112219733490172401	0 6 42 72 90 106 118 132 136 150 162 178 196 226 262 268	-1047259394266
SPT(16)	1112220043131825233	0 6 36 50 74 86 104 134 210 240 258 270 294 308 338 344	-737617741434
SPT(16)	1112220290933027317	0 12 70 82 96 136 150 160 186 196 210 250 264 276 334 346	-489816539350
STPT(10)	1112220340955191967	0 2 90 92 102 104 114 116 204 206	-439794374700
SPT(16)	1112220837362443381	0 18 66 70 88 96 112 130 138 156 172 180 198 202 250 268	56612876714
TPT(14)	1112220863482930247	0 2 60 62 102 104 144 146 180 182 222 224 252 254	82733363580
SPT(16)	1112221206015549943	0 24 48 66 70 96 108 124 180 196 208 234 238 256 280 304	425265983276
SPT(16)	1112221650307759517	0 12 26 50 122 140 144 180 206 242 246 264 336 360 374 386	869558192850
SPT(16)	1112222078612552857	0 4 36 42 46 102 112 130 186 204 214 270 274 280 312 316	1297862986190