Prime p₀= 743902459042706081 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 4 2 28 2 52 2 4 2 22 2 (?)
a_n: 0 2 60 62 66 68 96 98 150 152 156 158 180 182
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: 182
Found by: Theadalus
db: batch=73, k=14, 58 4 28 52 4 22

SPT(16)	743900715624096967	0 24 34 54 60 94 100 102 124 126 132 166 172 192 202 226	-1743418609114
TPT(14)	743901496255578851	0 2 78 80 126 128 150 152 156 158 180 182 210 212	-962787127230
SPT(16)	743901593750145283	0 18 34 36 60 124 160 186 238 264 300 364 388 390 406 424	-865292560798
TPT(14)	743901694016894417	0 2 54 56 90 92 114 116 132 134 180 182 210 212	-765025811664
STPT(10)	743901989266774967	0 2 30 32 72 74 114 116 144 146	-469775931114
TPT(14)	743902121540786057	0 2 12 14 120 122 132 134 150 152 180 182 222 224	-337501920024
STPT(10)	743902478978185799	0 2 18 20 30 32 42 44 60 62	19935479718
SPT(16)	743902717354662553	0 18 34 100 154 184 220 244 294 318 354 384 438 504 520 538	258311956472
SPT(16)	743902729157798927	0 56 92 96 120 122 164 176 210 222 264 266 290 294 330 386	270115092846
SPT(16)	743902955139937487	0 24 32 72 114 122 126 144 152 170 174 182 224 264 272 296	496097231406
SPT(16)	743903437360258817	0 14 20 66 90 120 126 132 134 140 146 176 200 246 252 266	978317552736