Prime p₀= 1170078708061362131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 40 2 28 2 40 2 16 2 (?)
a_n: 0 2 90 92 126 128 168 170 198 200 240 242 258 260
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: 260
Found by: suriv
db: batch=77, k=14, 88 34 40 28 40 16

SPT(13)	1170077929973587307	0 12 30 54 72 144 162 180 252 270 294 312 324	-778087774824
STPT(10)	1170078025754882087	0 2 30 32 42 44 54 56 84 86	-682306480044
SPT(16)	1170078432211727933	0 6 24 26 30 66 74 86 168 180 188 224 228 230 248 254	-275849634198
SPT(20)	1170078472219840013	0 24 36 56 110 116 134 138 140 158 186 204 206 210 228 234 288 308 320 344	-235841522118
TPT(14)	1170078508056528599	0 2 12 14 72 74 90 92 102 104 258 260 300 302	-200004833532
SPT(16)	1170078606146511953	0 24 48 66 140 150 176 210 254 288 314 324 398 416 440 464	-101914850178
TPT(14)	1170078950546443961	0 2 6 8 48 50 156 158 246 248 330 332 396 398	242485081830
STPT(10)	1170078990600680057	0 2 30 32 120 122 210 212 240 242	282539317926
SPT(16)	1170079258999933543	0 6 48 66 174 210 238 286 288 336 364 400 508 526 568 574	550938571412
SPT(16)	1170079503670763669	0 8 32 78 92 168 170 200 222 252 254 330 344 390 414 422	795609401538
SPT(16)	1170079677477066427	0 10 36 42 52 60 66 70 162 166 172 180 190 196 222 232	969415704296