Prime p₀= 2144105803645089257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 16 2 40 2 46 2 40 2 (?)
a_n: 0 2 42 44 54 56 72 74 114 116 162 164 204 206
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: 206
Found by: Landjunge
db: batch=80, k=14, 40 10 16 40 46 40

SPT(16)	2144104257704493691	0 6 36 52 102 118 148 190 258 300 330 346 396 412 442 448	-1545940595566
STPT(12)	2144104273706691887	0 2 24 26 192 194 222 224 390 392 414 416	-1529938397370
SPT(16)	2144104360893856261	0 6 28 36 40 60 96 102 106 112 148 168 172 180 202 208	-1442751232996
SPT(16)	2144104747374844217	0 12 36 42 56 80 120 126 146 152 192 216 230 236 260 272	-1056270245040
SPT(16)	2144104985741043737	0 12 44 74 80 90 110 122 132 144 164 174 180 210 242 254	-817904045520
SPT(16)	2144105545826312177	0 26 30 36 74 96 104 114 116 126 134 156 194 200 204 230	-257818777080
SPT(16)	2144105903247445513	0 4 10 78 126 180 204 208 216 220 244 298 346 414 420 424	99602356256
SPT(16)	2144106317384888069	0 20 44 104 110 140 174 180 182 188 222 252 258 318 342 362	513739798812
STPT(10)	2144106854486316779	0 2 48 50 90 92 132 134 180 182	1050841227522
SPT(16)	2144106972978293723	0 36 56 108 116 126 164 168 176 180 218 228 236 288 308 344	1169333204466
SPT(16)	2144107335842939617	0 10 12 24 30 40 120 124 150 154 234 244 250 262 264 274	1532197850360