Prime p₀= 1049014181920101431 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 16 2 10 2 136 2 70 2 16 2 (?)
a_n: 0 2 138 140 156 158 168 170 306 308 378 380 396 398
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: 398
Found by: stoneageman
db: batch=76, k=14, 136 16 10 136 70 16

STPT(10)	1049013170220088259	0 2 18 20 30 32 42 44 60 62	-1011700013172
SPT(16)	1049013191615452097	0 12 26 66 80 180 212 216 416 420 452 552 566 606 620 632	-990304649334
SPT(16)	1049013342618301409	0 18 42 68 84 104 174 182 240 248 318 338 354 380 404 422	-839301800022
SPT(16)	1049013501106613893	0 4 34 58 70 88 90 114 130 154 156 174 186 210 240 244	-680813487538
SPT(16)	1049013911794996339	0 24 30 52 70 78 90 108 124 142 154 162 180 202 208 232	-270125105092
TPT(14)	1049013966546693221	0 2 90 92 126 128 216 218 228 230 240 242 258 260	-215373408210
SPT(16)	1049014350388142041	0 10 12 60 70 72 96 112 126 142 166 168 178 226 228 238	168468040610
STPT(10)	1049014569042608261	0 2 30 32 60 62 90 92 120 122	387122506830
SPT(16)	1049015163949975109	0 12 18 42 62 90 138 188 192 242 290 318 338 362 368 380	982029873678
SPT(16)	1049015268304035523	0 10 36 40 78 96 106 126 148 168 178 196 234 238 264 274	1086383934092
STPT(10)	1049015698676098337	0 2 30 32 60 62 90 92 120 122	1516755996906