Prime p₀= 2729500210213318427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 28 2 16 2 22 2 16 2 (?)
a_n: 0 2 12 14 42 44 72 74 90 92 114 116 132 134
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: 134
Found by: JayPi
db: batch=82, k=14, 10 28 28 16 22 16

SPT(16)	2729498665223574553	0 18 36 40 108 124 138 150 184 196 210 226 294 298 316 334	-1544989743874
STPT(10)	2729499125956564691	0 2 36 38 78 80 120 122 156 158	-1084256753736
STPT(10)	2729499378316070387	0 2 30 32 42 44 54 56 84 86	-831897248040
SPT(16)	2729499532270612951	0 10 40 48 72 78 100 148 210 258 280 286 310 318 348 358	-677942705476
SPT(16)	2729499748213789037	0 14 32 42 50 62 90 102 134 146 174 186 194 204 222 236	-461999529390
STPT(10)	2729500193198248541	0 2 36 38 78 80 120 122 156 158	-17015069886
SPT(16)	2729500382185944421	0 18 40 42 52 108 138 162 196 220 250 306 316 318 340 358	171972625994
SPT(16)	2729500505126085133	0 6 34 36 78 100 114 130 144 160 174 196 238 240 268 274	294912766706
SPT(16)	2729500934597087689	0 54 90 114 124 154 174 184 234 244 264 294 304 328 364 418	724383769262
STPT(10)	2729501132990389799	0 2 18 20 30 32 42 44 60 62	922777071372
STPT(10)	2729501146804771289	0 2 18 20 30 32 42 44 60 62	936591452862