Prime p₀= 2333434634538451511 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 196 2 16 2 130 2 16 2 52 2 124 2 (?)
a_n: 0 2 198 200 216 218 348 350 366 368 420 422 546 548
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: 548
Found by: herby44
db: batch=81, k=14, 196 16 130 16 52 124

SPT(16)	2333433882185468779	0 28 30 34 48 54 70 78 160 168 184 190 204 208 210 238	-752352982732
SPT(16)	2333434159812891353	0 8 18 26 44 66 144 168 236 260 338 360 378 386 396 404	-474725560158
SPT(16)	2333434345532487929	0 18 30 62 98 114 128 132 140 144 158 174 210 242 254 272	-289005963582
SPT(16)	2333434401775202809	0 30 40 42 54 102 150 154 240 244 292 340 352 354 364 394	-232763248702
SPT(16)	2333434502917888943	0 20 30 104 110 126 128 138 146 156 158 174 180 254 264 284	-131620562568
SPT(16)	2333434598723484251	0 32 48 80 116 158 168 182 216 230 240 282 318 350 366 398	-35814967260
SPT(16)	2333434887762498691	0 12 40 90 132 156 210 222 226 238 292 316 358 408 436 448	253224047180
TPT(14)	2333434941528400667	0 2 84 86 102 104 144 146 240 242 270 272 312 314	306989949156
SPT(16)	2333435144597502241	0 22 30 48 108 118 130 142 246 258 270 280 340 358 366 388	510059050730
STPT(10)	2333435277727851287	0 2 42 44 72 74 102 104 144 146	643189399776
STPT(10)	2333435411269567901	0 2 6 8 18 20 30 32 36 38	776731116390