Prime p₀= 995824189550243147 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 64 2 58 2 22 2 58 2 (?)
a_n: 0 2 42 44 54 56 120 122 180 182 204 206 264 266
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: 266
Found by: Theadalus
db: batch=76, k=14, 40 10 64 58 22 58

SPT(16)	995822679506493697	0 4 6 24 42 46 60 66 130 136 150 154 172 190 192 196	-1510043749450
SPT(16)	995822871341713453	0 10 30 108 136 216 240 258 268 286 310 390 418 496 516 526	-1318208529694
SPT(16)	995822910294676291	0 18 46 58 78 90 106 142 216 252 268 280 300 312 340 358	-1279255566856
SPT(16)	995822941694723497	0 10 54 144 154 172 180 190 234 244 252 270 280 370 414 424	-1247855519650
SPT(16)	995823693745254527	0 60 66 80 110 116 132 152 180 200 216 222 252 266 272 332	-495804988620
SPT(16)	995823697799165777	0 2 14 42 44 62 66 84 152 170 174 192 194 222 234 236	-491751077370
SPT(16)	995824204921196093	0 48 56 66 126 144 174 176 198 200 230 248 308 318 326 374	15370952946
SPT(16)	995824277657647703	0 6 14 44 56 234 326 366 368 408 500 678 690 720 728 734	88107404556
SPT(16)	995824580709242533	0 6 18 34 36 60 78 84 160 166 184 208 210 226 238 244	391158999386
SPT(16)	995824603925863091	0 48 56 66 78 80 98 150 158 210 228 230 242 252 260 308	414375619944
SPT(16)	995824808650412413	0 10 24 78 96 126 148 150 184 186 208 238 256 310 324 334	619100169266