Prime p₀= 1014500418003370421 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 40 2 34 2 28 2 28 2 (?)
a_n: 0 2 30 32 48 50 90 92 126 128 156 158 186 188
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: 188
Found by: Theadalus
db: batch=76, k=14, 28 16 40 34 28 28

STPT(10)	1014500066952848681	0 2 6 8 18 20 30 32 36 38	-351050521740
TPT(14)	1014500115626749151	0 2 36 38 96 98 108 110 240 242 246 248 318 320	-302376621270
SPT(16)	1014500125152767497	0 12 24 70 126 132 136 184 252 300 304 310 366 412 424 436	-292850602924
SPT(16)	1014500145705582533	0 44 84 86 98 104 138 140 174 176 210 216 228 230 270 314	-272297787888
SPT(16)	1014500228880773177	0 20 26 32 50 72 126 170 186 230 284 306 324 330 336 356	-189122597244
SPT(16)	1014500307176020829	0 8 14 20 42 48 62 84 128 150 164 170 192 198 204 212	-110827349592
STPT(10)	1014500438003776187	0 2 60 62 102 104 144 146 204 206	20000405766
SPT(16)	1014500438251869991	0 36 52 58 66 88 100 108 190 198 210 232 240 246 262 298	20248499570
SPT(16)	1014500607024862327	0 12 66 82 96 126 142 166 186 210 226 256 270 286 340 352	189021491906
STPT(10)	1014500621878825979	0 2 42 44 60 62 78 80 120 122	203875455558
SPT(16)	1014500899783351667	0 114 122 144 162 164 170 180 224 234 240 242 260 282 290 404	481779981246