Prime p₀= 4506375109428665321 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 22 2 88 2 34 2 40 2 10 2 (?)
a_n: 0 2 6 8 30 32 120 122 156 158 198 200 210 212
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: 212
Found by: Dingo
db: batch=85, k=14, 4 22 88 34 40 10

STPT(10)	4506373714084012751	0 2 36 38 78 80 120 122 156 158	-1395344652570
STPT(10)	4506373751156417207	0 2 12 14 42 44 72 74 84 86	-1358272248114
STPT(10)	4506374076698443091	0 2 6 8 18 20 30 32 36 38	-1032730222230
STPT(10)	4506374087841601439	0 2 48 50 60 62 72 74 120 122	-1021587063882
SPT(16)	4506374829346529201	0 98 110 116 128 186 210 240 278 308 332 390 402 408 420 518	-280082136120
SPT(16)	4506374888700658777	0 12 40 60 90 96 112 150 196 234 250 256 286 306 334 346	-220728006544
SPT(16)	4506375502403582347	0 4 12 40 52 60 96 126 190 220 256 264 276 304 312 316	392974917026
TPT(14)	4506375595129114697	0 2 90 92 102 104 180 182 222 224 282 284 324 326	485700449376
SPT(16)	4506375815009591053	0 18 100 138 144 166 186 198 226 238 258 280 286 324 406 424	705580925732
STPT(10)	4506376096861508657	0 2 60 62 72 74 84 86 144 146	987432843336
SPT(16)	4506376272786833201	0 8 32 42 60 66 108 162 206 260 302 308 326 336 360 368	1163358167880