Prime p₀= 2040160361883987587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 10 2 64 2 10 2 76 2 22 2 (?)
a_n: 0 2 102 104 114 116 180 182 192 194 270 272 294 296
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: 296
Found by: Landjunge
db: batch=80, k=14, 100 10 64 10 76 22

STPT(10)	2040159248803218467	0 2 12 14 42 44 72 74 84 86	-1113080769120
STPT(10)	2040159249082694651	0 2 6 8 18 20 30 32 36 38	-1112801292936
STPT(10)	2040159256673014187	0 2 42 44 72 74 102 104 144 146	-1105210973400
STPT(10)	2040159280983221927	0 2 42 44 72 74 102 104 144 146	-1080900765660
SPT(16)	2040160167255826991	0 30 92 140 146 216 228 282 356 410 422 492 498 546 608 638	-194628160596
SPT(16)	2040160181064116807	0 20 42 126 132 152 164 176 180 192 204 224 230 314 336 356	-180819870780
SPT(16)	2040160845868798739	0 30 72 80 92 102 120 132 158 170 188 198 210 218 260 290	483984811152
STPT(10)	2040161187010218869	0 2 42 44 60 62 78 80 120 122	825126231282
SPT(16)	2040161235386792941	0 10 12 22 40 42 78 100 120 142 178 180 198 208 210 220	873502805354
STPT(10)	2040161269488669317	0 2 42 44 72 74 102 104 144 146	907604681730
SPT(16)	2040161707589066539	0 4 10 30 60 70 84 88 210 214 228 238 268 288 294 298	1345705078952