Prime p₀= 798834191638363187 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 40 2 10 2 16 2 10 2 (?)
a_n: 0 2 24 26 30 32 72 74 84 86 102 104 114 116
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: 116
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 22 4 40 10 16 10

STPT(10)	798833328661343747	0 2 30 32 72 74 114 116 144 146	-862977019440
SPT(16)	798833355412821263	0 8 44 84 86 134 146 168 266 288 300 348 350 390 426 434	-836225541924
SPT(16)	798833484901769761	0 16 22 36 70 82 120 192 250 322 360 372 406 420 426 442	-706736593426
SPT(13)	798833773261395709	0 12 18 48 60 78 90 102 120 132 162 168 180	-418376967478
STPT(10)	798833802462379499	0 2 12 14 30 32 48 50 60 62	-389175983688
STPT(10)	798833931801874019	0 2 30 32 120 122 210 212 240 242	-259836489168
STPT(10)	798834705214668347	0 2 30 32 42 44 54 56 84 86	513576305160
SPT(16)	798834789870496693	0 10 30 46 94 156 166 196 198 228 238 300 348 364 384 394	598232133506
SPT(16)	798835009757716291	0 10 12 40 90 106 136 178 180 222 252 268 318 346 348 358	818119353104
STPT(10)	798835173771968939	0 2 48 50 90 92 132 134 180 182	982133605752
STPT(12)	798835381182342809	0 2 30 32 42 44 48 50 60 62 90 92	1189543979622