Prime p₀= 2119224088525883147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 28 2 16 2 88 2 58 2 (?)
a_n: 0 2 30 32 42 44 72 74 90 92 180 182 240 242
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: 242
Found by: Landjunge
db: batch=80, k=14, 28 10 28 16 88 58

SPT(16)	2119223091014134627	0 16 54 90 100 132 172 244 252 324 364 396 406 442 480 496	-997511748520
TPT(14)	2119223094854125241	0 2 60 62 78 80 90 92 120 122 126 128 156 158	-993671757906
SPT(16)	2119223625371782499	0 38 42 48 72 92 98 104 108 114 120 140 164 170 174 212	-463154100648
SPT(16)	2119223693879666047	0 10 70 84 100 112 136 142 144 150 174 186 202 216 276 286	-394646217100
SPT(16)	2119223982298673017	0 4 10 124 132 144 216 232 234 250 322 334 342 456 462 466	-106227210130
SPT(16)	2119224032090093333	0 6 18 26 48 54 56 60 104 108 110 116 138 146 158 164	-56435789814
STPT(10)	2119224500970261689	0 2 12 14 90 92 168 170 180 182	412444378542
SPT(16)	2119224873376681277	0 20 44 60 84 104 140 152 204 216 252 272 296 312 336 356	784850798130
STPT(10)	2119225055207018789	0 2 30 32 60 62 90 92 120 122	966681135642
SPT(16)	2119225213348277921	0 6 18 20 66 98 102 122 126 146 150 182 228 230 242 248	1124822394774
SPT(16)	2119225854318565673	0 14 18 24 30 80 108 116 198 206 234 284 290 296 300 314	1765792682526