Prime p₀= 1028076432148238411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 34 2 22 2 178 2 16 2 (?)
a_n: 0 2 30 32 120 122 156 158 180 182 360 362 378 380
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: 380
Found by: Skivelitis2
db: batch=76, k=14, 28 88 34 22 178 16

TPT(14)	1028075083700101889	0 2 12 14 48 50 90 92 102 104 180 182 240 242	-1348448136522
SPT(16)	1028075371651863659	0 12 18 20 24 50 62 108 134 180 192 218 222 224 230 242	-1060496374752
STPT(10)	1028075572504717907	0 2 30 32 120 122 210 212 240 242	-859643520504
TPT(14)	1028075907870474611	0 2 36 38 78 80 108 110 126 128 156 158 168 170	-524277763800
SPT(16)	1028076154945644283	0 34 58 100 108 168 178 234 250 306 316 376 384 426 450 484	-277202594128
STPT(10)	1028076197317165769	0 2 12 14 90 92 168 170 180 182	-234831072642
TPT(14)	1028076626687662967	0 2 30 32 72 74 84 86 162 164 240 242 312 314	194539424556
STPT(10)	1028077431152019341	0 2 30 32 60 62 90 92 120 122	999003780930
STPT(10)	1028077611775423421	0 2 36 38 78 80 120 122 156 158	1179627185010
STPT(10)	1028077612954871021	0 2 6 8 48 50 90 92 96 98	1180806632610
TPT(14)	1028077743194707559	0 2 30 32 90 92 102 104 198 200 210 212 222 224	1311046469148