Prime p₀= 2014151092302512921 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 106 2 46 2 70 2 46 2 (?)
a_n: 0 2 30 32 60 62 168 170 216 218 288 290 336 338
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: 338
Found by: Chooka
db: batch=80, k=14, 28 28 106 46 70 46

SPT(16)	2014148749781884297	0 24 36 106 126 220 240 246 304 310 330 424 444 514 526 550	-2342520628624
STPT(10)	2014149093914025611	0 2 6 8 48 50 90 92 96 98	-1998388487310
SPT(16)	2014149324240583037	0 30 60 144 146 176 180 216 224 260 264 294 296 380 410 440	-1768061929884
STPT(10)	2014149765675577391	0 2 36 38 78 80 120 122 156 158	-1326626935530
SPT(16)	2014150301669347823	0 14 18 20 36 48 50 60 104 114 116 128 144 146 150 164	-790633165098
SPT(16)	2014150966740536329	0 4 30 34 70 84 90 138 160 208 214 228 264 268 294 298	-125561976592
SPT(16)	2014151497494027589	0 18 34 42 78 88 112 148 174 210 234 244 280 288 304 322	405191514668
STPT(10)	2014151590629541547	0 2 30 32 60 62 90 92 120 122	498327028626
TPT(14)	2014151723204221229	0 2 192 194 228 230 252 254 312 314 360 362 402 404	630901708308
SPT(16)	2014151926103401277	0 14 74 84 140 186 194 222 224 252 260 306 362 372 432 446	833800888356
SPT(16)	2014152108545298971	0 18 72 96 132 138 156 162 236 242 260 266 302 326 380 398	1016242786050