Prime p₀= 2077503122717387081 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 70 2 10 2 28 2 46 2 106 2 (?)
a_n: 0 2 6 8 78 80 90 92 120 122 168 170 276 278
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: 278
Found by: Landjunge
db: batch=80, k=14, 4 70 10 28 46 106

SPT(16)	2077502153777685851	0 2 68 86 128 138 146 182 186 222 230 240 282 300 366 368	-968939701230
SPT(16)	2077502362403980751	0 32 66 78 98 120 152 206 222 276 308 330 350 362 396 428	-760313406330
SPT(16)	2077502762107193401	0 12 100 106 148 180 198 208 210 220 238 270 312 318 406 418	-360610193680
STPT(10)	2077502859056821949	0 2 18 20 30 32 42 44 60 62	-263660565132
SPT(16)	2077502929801141709	0 12 14 18 32 38 42 80 102 140 144 150 164 168 170 182	-192916245372
STPT(10)	2077503084157875347	0 2 30 32 42 44 54 56 84 86	-38559511734
SPT(16)	2077503177395947289	0 8 72 80 92 212 240 258 284 302 330 450 462 470 534 542	54678560208
SPT(16)	2077503422298980887	0 46 60 66 82 112 154 162 214 222 264 294 310 316 330 376	299581593806
STPT(10)	2077503424229524397	0 2 30 32 42 44 54 56 84 86	301512137316
STPT(10)	2077503910804758341	0 2 6 8 48 50 90 92 96 98	788087371260
TPT(14)	2077503976650021191	0 2 30 32 60 62 138 140 156 158 228 230 240 242	853932634110