Prime p₀= 2423943256513428569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 136 2 10 2 166 2 28 2 28 2 (?)
a_n: 0 2 12 14 150 152 162 164 330 332 360 362 390 392
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: 392
Found by: JayPi
db: batch=82, k=14, 10 136 10 166 28 28

SPT(16)	2423940828504956429	0 12 30 42 44 50 54 84 140 170 174 180 182 194 212 224	-2428008472140
TPT(14)	2423941550217931439	0 2 78 80 90 92 150 152 168 170 192 194 288 290	-1706295497130
SPT(16)	2423942237768871221	0 26 62 68 90 108 138 152 246 260 290 308 330 336 372 398	-1018744557348
STPT(12)	2423942308561588271	0 2 6 8 30 32 186 188 210 212 216 218	-947951840298
STPT(10)	2423943025933699337	0 2 60 62 72 74 84 86 144 146	-230579729232
SPT(16)	2423943032726276609	0 14 42 104 162 182 188 198 224 234 240 260 318 380 408 422	-223787151960
STPT(10)	2423943321471314327	0 2 24 26 42 44 60 62 84 86	64957885758
SPT(16)	2423943350675591471	0 2 30 42 48 216 228 236 312 320 332 500 506 518 546 548	94162162902
STPT(10)	2423943618067387859	0 2 42 44 60 62 78 80 120 122	361553959290
SPT(16)	2423944047396729383	0 18 30 44 140 180 194 198 206 210 224 264 360 374 386 404	790883300814
SPT(16)	2423944142111024969	0 18 60 74 80 90 102 104 168 170 182 192 198 212 254 272	885597596400