Prime p₀= 2148818101294598429 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 40 2 46 2 52 2 28 2 (?)
a_n: 0 2 42 44 78 80 120 122 168 170 222 224 252 254
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: 254
Found by: Landjunge
db: batch=81, k=14, 40 34 40 46 52 28

SPT(16)	2148817087567987351	0 22 88 100 126 130 142 166 312 336 348 352 378 390 456 478	-1013726611078
SPT(16)	2148817112559315089	0 38 48 62 68 84 110 134 138 162 188 204 210 224 234 272	-988735283340
STPT(10)	2148817196522336279	0 2 18 20 60 62 102 104 120 122	-904772262150
TPT(14)	2148817424677735151	0 2 90 92 138 140 198 200 240 242 306 308 366 368	-676616863278
SPT(16)	2148817709665724401	0 6 22 40 42 96 120 150 178 208 232 286 288 306 322 328	-391628874028
SPT(16)	2148817753908014737	0 4 22 60 64 70 94 126 130 162 186 192 196 234 252 256	-347386583692
STPT(10)	2148818496286026869	0 2 132 134 150 152 168 170 300 302	394991428440
STPT(10)	2148818975165464487	0 2 30 32 72 74 114 116 144 146	873870866058
SPT(16)	2148819073340885551	0 22 42 48 78 90 126 162 166 202 238 250 280 286 306 328	972046287122
SPT(16)	2148819112996412719	0 24 52 64 70 78 100 114 238 252 274 282 288 300 328 352	1011701814290
STPT(10)	2148819470774125949	0 2 48 50 60 62 72 74 120 122	1369479527520