Prime p₀= 2119223094854125241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 16 2 10 2 28 2 4 2 28 2 (?)
a_n: 0 2 60 62 78 80 90 92 120 122 126 128 156 158
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: 158
Found by: Landjunge
db: batch=80, k=14, 58 16 10 28 4 28

STPT(10)	2119222744147887197	0 2 30 32 42 44 54 56 84 86	-350706238044
TPT(14)	2119222770010610567	0 2 42 44 84 86 114 116 132 134 210 212 252 254	-324843514674
SPT(16)	2119222839747892141	0 22 30 46 102 118 142 172 186 216 240 256 312 328 336 358	-255106233100
STPT(10)	2119222886057839139	0 2 42 44 90 92 138 140 180 182	-208796286102
STPT(10)	2119222905342929987	0 2 42 44 72 74 102 104 144 146	-189511195254
SPT(16)	2119223091014134627	0 16 54 90 100 132 172 244 252 324 364 396 406 442 480 496	-3839990614
SPT(16)	2119223625371782499	0 38 42 48 72 92 98 104 108 114 120 140 164 170 174 212	530517657258
SPT(16)	2119223693879666047	0 10 70 84 100 112 136 142 144 150 174 186 202 216 276 286	599025540806
SPT(16)	2119223982298673017	0 4 10 124 132 144 216 232 234 250 322 334 342 456 462 466	887444547776
SPT(16)	2119224032090093333	0 6 18 26 48 54 56 60 104 108 110 116 138 146 158 164	937235968092
TPT(14)	2119224088525883147	0 2 30 32 42 44 72 74 90 92 180 182 240 242	993671757906