Prime p₀= 732689391499220009 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 28 2 40 2 136 2 52 2 (?)
a_n: 0 2 30 32 108 110 138 140 180 182 318 320 372 374
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: 374
Found by: Theadalus
db: batch=73, k=14, 28 76 28 40 136 52

SPT(16)	732688398884026297	0 12 96 102 172 220 256 264 292 300 336 384 454 460 544 556	-992615193712
SPT(16)	732688546761253301	0 18 32 36 72 98 108 120 128 140 150 176 212 216 230 248	-844737966708
SPT(16)	732688799527066279	0 28 30 78 88 190 198 240 310 352 360 462 472 520 522 550	-591972153730
STPT(10)	732688953180235661	0 2 30 32 78 80 126 128 156 158	-438318984348
SPT(16)	732689163851786891	0 60 66 80 98 102 110 138 170 198 206 210 228 242 248 308	-227647433118
TPT(14)	732689317999904117	0 2 24 26 30 32 72 74 114 116 144 146 180 182	-73499315892
STPT(10)	732689399973350747	0 2 54 56 72 74 90 92 144 146	8474130738
STPT(10)	732689726185708787	0 2 12 14 42 44 72 74 84 86	334686488778
SPT(16)	732690640764275183	0 8 18 20 180 188 246 258 308 320 378 386 546 548 558 566	1249265055174
SPT(16)	732690705962107183	0 16 18 36 58 70 78 84 100 106 114 126 148 166 168 184	1314462887174
STPT(10)	732691038449726087	0 2 30 32 42 44 54 56 84 86	1646950506078