Prime p₀= 3029394938189678831 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 10 2 40 2 76 2 148 2 28 2 (?)
a_n: 0 2 36 38 48 50 90 92 168 170 318 320 348 350
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: 350
Found by: [SG-FC] hl
db: batch=82, k=14, 34 10 40 76 148 28

STPT(10)	3029394083230954067	0 2 30 32 72 74 114 116 144 146	-854958724764
STPT(10)	3029394168174756647	0 2 42 44 72 74 102 104 144 146	-770014922184
SPT(18)	3029394224262393179	0 30 44 80 90 92 104 150 192 230 272 318 330 332 342 378 392 422	-713927285652
STPT(10)	3029394306719600789	0 2 12 14 30 32 48 50 60 62	-631470078042
SPT(16)	3029394582481672793	0 14 24 44 90 110 114 128 150 164 168 188 234 254 264 278	-355708006038
STPT(10)	3029394793018668629	0 2 42 44 60 62 78 80 120 122	-145171010202
SPT(16)	3029394939099156323	0 38 50 56 80 104 108 126 128 146 150 174 198 204 216 254	909477492
SPT(16)	3029395006111511357	0 14 42 74 80 90 102 140 144 182 194 204 210 242 270 284	67921832526
SPT(16)	3029395452279525803	0 8 84 96 116 134 138 188 216 266 270 288 308 320 396 404	514089846972
STPT(10)	3029395593043826129	0 2 12 14 30 32 48 50 60 62	654854147298
SPT(16)	3029395683452243299	0 12 52 64 130 148 150 154 228 232 234 252 318 330 370 382	745262564468