Prime p₀= 1952735148694752869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 64 2 40 2 46 2 10 2 58 2 (?)
a_n: 0 2 42 44 108 110 150 152 198 200 210 212 270 272
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: 272
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 40 64 40 46 10 58

SPT(16)	1952733822286935433	0 54 88 126 154 196 214 226 228 240 258 300 328 366 400 454	-1326407817436
STPT(10)	1952733888295168799	0 2 42 44 60 62 78 80 120 122	-1260399584070
SPT(16)	1952734003769431637	0 2 54 56 60 96 122 140 156 174 200 236 240 242 294 296	-1144925321232
SPT(16)	1952734008577713727	0 4 10 34 60 100 112 126 160 174 186 226 252 276 282 286	-1140117039142
STPT(10)	1952734672101847721	0 2 6 8 48 50 90 92 96 98	-476592905148
SPT(16)	1952734895295892199	0 8 72 92 128 170 182 192 308 318 330 372 408 428 492 500	-253398860670
SPT(16)	1952735252534156309	0 20 38 48 90 102 104 162 170 228 230 242 284 294 312 332	103839403440
TPT(14)	1952735405793527939	0 2 48 50 78 80 108 110 180 182 192 194 210 212	257098775070
STPT(10)	1952736317534208257	0 2 72 74 102 104 132 134 204 206	1168839455388
SPT(16)	1952736397792590253	0 6 76 78 106 156 160 180 184 204 208 258 286 288 358 364	1249097837384
SPT(16)	1952736730426341389	0 60 62 92 134 140 182 192 200 210 252 258 300 330 332 392	1581731588520