Prime p₀= 2311906434845777879 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 40 2 10 2 28 2 124 2 (?)
a_n: 0 2 30 32 48 50 90 92 102 104 132 134 258 260
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: 260
Found by: MarkRBright
db: batch=81, k=14, 28 16 40 10 28 124

SPT(16)	2311905647994510067	0 16 64 70 76 82 84 106 210 232 234 240 246 252 300 316	-786851267812
SPT(16)	2311905802176336647	0 12 26 66 80 92 120 162 224 266 294 306 320 360 374 386	-632669441232
STPT(10)	2311905891928013837	0 2 30 32 42 44 54 56 84 86	-542917764042
TPT(14)	2311905940356242927	0 2 30 32 132 134 264 266 270 272 300 302 420 422	-494489534952
STPT(10)	2311905963632387489	0 2 12 14 90 92 168 170 180 182	-471213390390
SPT(16)	2311906115684132039	0 8 18 42 62 90 140 150 200 210 260 288 308 332 342 350	-319161645840
SPT(18)	2311906443560274607	0 40 72 144 154 160 172 180 184 312 316 324 336 342 352 424 456 496	8714496728
SPT(16)	2311906736149554073	0 34 48 60 66 88 90 124 180 214 216 238 244 256 270 304	301303776194
TPT(14)	2311907155507977329	0 2 42 44 78 80 120 122 162 164 168 170 222 224	720662199450
SPT(16)	2311907867496989407	0 34 46 52 64 76 84 90 106 112 120 132 144 150 162 196	1432651211528
STPT(10)	2311907966909780807	0 2 12 14 42 44 72 74 84 86	1532064002928