Prime p₀= 1623647435703579071 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 46 2 28 2 16 2 70 2 10 2 (?)
a_n: 0 2 120 122 168 170 198 200 216 218 288 290 300 302
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: 302
Found by: biodoc
db: batch=78, k=14, 118 46 28 16 70 10

SPT(20)	1623645576400486627	0 6 66 102 106 112 132 150 156 172 174 190 196 214 234 240 244 280 340 346	-1859303092444
SPT(16)	1623646041041923931	0 30 36 62 96 140 146 152 240 246 252 296 330 356 362 392	-1394661655140
SPT(16)	1623646357107362593	0 4 36 76 78 124 154 166 168 180 210 256 258 298 330 334	-1078596216478
SPT(16)	1623646361815800031	0 58 166 198 240 292 300 306 322 328 336 388 430 462 570 628	-1073887779040
STPT(10)	1623646580586352031	0 2 66 68 108 110 150 152 216 218	-855117227040
SPT(16)	1623647362866918533	0 26 44 56 96 110 126 134 180 188 204 218 258 270 288 314	-72836660538
STPT(10)	1623647454518095397	0 2 30 32 42 44 54 56 84 86	18814516326
SPT(16)	1623647589418855571	0 36 48 68 102 116 152 158 240 246 282 296 330 350 362 398	153715276500
SPT(16)	1623647740752368657	0 72 74 132 156 210 230 266 270 306 326 380 404 462 464 536	305048789586
STPT(10)	1623647848451870081	0 2 36 38 78 80 120 122 156 158	412748291010
STPT(10)	1623648007754254409	0 2 12 14 90 92 168 170 180 182	572050675338