Prime p₀= 4073144044666102451 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 88 2 82 2 64 2 10 2 10 2 (?)
a_n: 0 2 36 38 126 128 210 212 276 278 288 290 300 302
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: 302
Found by: [AF] Kalianthys
db: batch=84, k=14, 34 88 82 64 10 10

SPT(16)	4073143219496336537	0 30 32 54 74 126 212 236 270 294 380 432 452 474 476 506	-825169765914
STPT(10)	4073143560331992071	0 2 30 32 78 80 126 128 156 158	-484334110380
STPT(10)	4073143599222084347	0 2 30 32 102 104 174 176 204 206	-445444018104
SPT(16)	4073143738634021083	0 18 40 90 118 120 130 138 196 204 214 216 244 294 316 334	-306032081368
SPT(16)	4073143972254622819	0 12 54 58 72 94 112 114 208 210 228 250 264 268 310 322	-72411479632
SPT(16)	4073143990937116049	0 30 48 50 120 132 140 168 182 210 218 230 300 302 320 350	-53728986402
SPT(16)	4073144235494226197	0 12 26 50 86 92 134 140 156 162 204 210 246 270 284 296	190828123746
SPT(16)	4073144656533811051	0 30 72 78 88 102 142 160 168 186 226 240 250 256 298 328	611867708600
SPT(16)	4073144729293810021	0 42 52 88 118 120 168 186 322 340 388 390 420 456 466 508	684627707570
STPT(10)	4073145486223929299	0 2 18 20 30 32 42 44 60 62	1441557826848
STPT(10)	4073146263850729337	0 2 24 26 42 44 60 62 84 86	2219184626886