Prime p₀= 2109601327280665259 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 130 2 28 2 4 2 (?)
a_n: 0 2 30 32 42 44 60 62 192 194 222 224 228 230
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: 230
Found by: Landjunge
db: batch=80, k=14, 28 10 16 130 28 4

STPT(10)	2109599883090262817	0 2 90 92 102 104 114 116 204 206	-1444190402442
SPT(16)	2109600006352990313	0 26 54 66 68 96 156 194 210 248 308 336 338 350 378 404	-1320927674946
SPT(16)	2109600220881909013	0 16 24 30 58 76 88 100 144 156 168 186 214 220 228 244	-1106398756246
SPT(16)	2109600543281691563	0 20 54 96 108 126 140 180 314 354 368 386 398 440 474 494	-783998973696
SPT(16)	2109601220199990767	0 12 50 60 104 126 144 152 174 182 200 222 266 276 314 326	-107080674492
SPT(16)	2109601307532880669	0 4 22 28 54 60 84 144 148 208 232 238 264 270 288 292	-19747784590
STPT(12)	2109601706447622719	0 2 78 80 90 92 120 122 132 134 210 212	379166957460
SPT(13)	2109601786926124823	0 24 48 168 204 210 234 258 264 300 420 444 468	459645459564
STPT(10)	2109601940125728077	0 2 12 14 42 44 72 74 84 86	612845062818
SPT(16)	2109601972888156807	0 30 40 42 90 100 120 124 162 166 186 196 244 246 256 286	645607491548
STPT(10)	2109602200886805797	0 2 42 44 72 74 102 104 144 146	873606140538