Prime p₀= 2014030912541655737 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 46 2 88 2 100 2 28 2 (?)
a_n: 0 2 42 44 72 74 120 122 210 212 312 314 342 344
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: Chooka
db: batch=80, k=14, 40 28 46 88 100 28

SPT(16)	2014029678477362801	0 50 62 90 132 168 182 192 206 216 230 266 308 336 348 398	-1234064292936
STPT(10)	2014029727436497751	0 2 36 38 78 80 120 122 156 158	-1185105157986
SPT(16)	2014029786500199443	0 24 108 110 138 180 188 198 206 216 224 266 294 296 380 404	-1126041456294
TPT(14)	2014029806927931899	0 2 30 32 108 110 120 122 138 140 192 194 198 200	-1105613723838
SPT(16)	2014030266373770331	0 12 42 60 70 102 108 120 130 142 148 180 190 208 238 250	-646167885406
SPT(16)	2014030442673688237	0 16 24 64 84 94 96 120 130 154 156 166 186 226 234 250	-469867967500
SPT(13)	2014030972485009553	0 6 36 66 78 150 168 186 258 270 300 330 336	59943353816
SPT(16)	2014031019650805739	0 12 24 28 42 64 78 112 150 184 198 220 234 238 250 262	107109150002
TPT(14)	2014031125172974637	0 2 30 32 42 44 90 92 120 122 210 212 354 356	212631318900
SPT(16)	2014031394851081171	0 26 48 62 68 126 128 132 146 150 152 210 216 230 252 278	482309425434
SPT(16)	2014031451054773399	0 2 12 42 68 78 104 138 254 288 314 324 350 380 390 392	538513117662