Prime p₀= 2412399386730989567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 58 2 40 2 118 2 16 2 16 2 (?)
a_n: 0 2 72 74 132 134 174 176 294 296 312 314 330 332
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: 332
Found by: [SG-FC] hl
db: batch=82, k=14, 70 58 40 118 16 16

SPT(16)	2412397678245248359	0 12 22 24 42 52 102 124 150 172 222 232 250 252 262 274	-1708485741208
STPT(10)	2412398403482038427	0 2 30 32 42 44 54 56 84 86	-983248951140
STPT(10)	2412398467341499361	0 2 6 8 48 50 90 92 96 98	-919389490206
TPT(14)	2412398488790114309	0 2 42 44 60 62 78 80 132 134 270 272 288 290	-897940875258
TPT(14)	2412398789129409347	0 2 12 14 24 26 42 44 54 56 114 116 222 224	-597601580220
SPT(16)	2412398792437380839	0 30 98 152 162 164 182 222 320 360 378 380 390 444 512 542	-594293608728
TPT(14)	2412399833321214719	0 2 90 92 108 110 138 140 162 164 210 212 222 224	446590225152
STPT(10)	2412400020410902307	0 2 30 32 60 62 90 92 120 122	633679912740
TPT(14)	2412400169570063159	0 2 42 44 90 92 102 104 132 134 168 170 180 182	782839073592
STPT(10)	2412400233664524239	0 2 12 14 90 92 168 170 180 182	846933534672
SPT(16)	2412400409451541853	0 50 60 78 110 116 210 218 288 296 390 396 428 446 456 506	1022720552286