Prime p₀= 1432719706366720727 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 16 2 10 2 28 2 40 2 4 2 (?)
a_n: 0 2 72 74 90 92 102 104 132 134 174 176 180 182
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: 182
Found by: Theadalus
db: batch=78, k=14, 70 16 10 28 40 4

SPT(16)	1432718232561592117	0 12 40 66 70 124 144 154 162 172 192 246 250 276 304 316	-1473805128610
STPT(10)	1432718360408090279	0 2 18 20 30 32 42 44 60 62	-1345958630448
STPT(10)	1432718679271589711	0 2 126 128 138 140 150 152 276 278	-1027095131016
STPT(10)	1432718780461917581	0 2 6 8 48 50 90 92 96 98	-925904803146
SPT(16)	1432718936932910771	0 8 96 126 152 156 218 228 320 330 392 396 422 452 540 548	-769433809956
SPT(16)	1432719198639971513	0 78 90 96 134 186 228 234 260 266 308 360 398 404 416 494	-507726749214
SPT(16)	1432720005403763617	0 6 66 72 90 132 136 156 190 210 214 256 274 280 340 346	299037042890
STPT(10)	1432720075977590999	0 2 18 20 30 32 42 44 60 62	369610870272
STPT(10)	1432720232056052057	0 2 30 32 42 44 54 56 84 86	525689331330
SPT(16)	1432720276683232409	0 8 14 80 90 98 120 144 164 188 210 218 228 294 300 308	570316511682
STPT(10)	1432720438808452889	0 2 18 20 30 32 42 44 60 62	732441732162