Prime p₀= 1406568790908208007 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 76 2 40 2 16 2 40 2 94 2 (?)
a_n: 0 2 54 56 132 134 174 176 192 194 234 236 330 332
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: 332
Found by: matali
db: batch=78, k=14, 52 76 40 16 40 94

SPT(16)	1406567528264161903	0 24 30 34 40 118 124 150 184 210 216 294 300 304 310 334	-1262644046104
SPT(16)	1406567798999646067	0 16 22 24 36 64 130 184 192 246 312 340 352 354 360 376	-991908561940
STPT(10)	1406567954824532411	0 2 6 8 18 20 30 32 36 38	-836083675596
STPT(10)	1406568141315955859	0 2 42 44 90 92 138 140 180 182	-649592252148
TPT(14)	1406568190990071491	0 2 18 20 48 50 90 92 180 182 198 200 270 272	-599918136516
SPT(16)	1406568650223866959	0 18 60 78 88 90 102 112 120 130 142 144 154 172 214 232	-140684341048
SPT(16)	1406569216089530543	0 18 24 44 66 78 120 128 156 164 206 218 240 260 266 284	425181322536
SPT(16)	1406569304751796973	0 6 14 54 86 116 138 144 170 176 198 228 260 300 308 314	513843588966
STPT(10)	1406569519190054039	0 2 18 20 30 32 42 44 60 62	728281846032
STPT(10)	1406569667112964169	0 2 48 50 90 92 132 134 180 182	876204756162
TPT(14)	1406569696644165827	0 2 42 44 54 56 90 92 102 104 144 146 180 182	905735957820