Prime p₀= 2688107524299909587 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 22 2 16 2 46 2 70 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 120 122 192 194
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: 194
Found by: biodoc
db: batch=82, k=14, 10 16 22 16 46 70

SPT(16)	2688106219153729631	0 6 20 26 48 50 56 138 140 222 228 230 252 258 272 278	-1305146179956
SPT(18)	2688106682142601711	0 6 12 66 70 88 118 276 342 376 442 600 630 648 652 706 712 718	-842157307876
TPT(14)	2688106738154879651	0 2 156 158 360 362 420 422 450 452 498 500 570 572	-786145029936
SPT(16)	2688107068000473773	0 20 24 38 90 134 180 206 318 344 390 434 486 500 504 524	-456299435814
SPT(16)	2688107155962555193	0 28 40 48 58 88 100 124 144 168 180 210 220 228 240 268	-368337354394
SPT(16)	2688107391607565243	0 30 66 114 128 156 194 198 206 210 248 276 290 338 374 404	-132692344344
SPT(16)	2688107787857228623	0 6 40 54 108 178 220 238 276 294 336 406 460 474 508 514	263557319036
STPT(10)	2688107828650716959	0 2 48 50 90 92 132 134 180 182	304350807372
TPT(14)	2688107949916922711	0 2 6 8 66 68 78 80 90 92 96 98 120 122	425617013124
STPT(10)	2688108055082426687	0 2 42 44 72 74 102 104 144 146	530782517100
SPT(16)	2688108083153890897	0 22 34 82 120 126 136 142 174 180 190 196 234 282 294 316	558853981310