Prime p₀= 1034952000346165469 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 46 2 16 2 10 2 166 2 10 2 (?)
a_n: 0 2 72 74 120 122 138 140 150 152 318 320 330 332
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: 332
Found by: stoneageman
db: batch=76, k=14, 70 46 16 10 166 10

SPT(16)	1034950476494904001	0 30 88 90 96 118 126 138 148 160 168 190 196 198 256 286	-1523851261468
SPT(13)	1034950641843128533	0 6 66 90 144 186 210 234 276 330 354 414 420	-1358503036936
TPT(14)	1034950765597565279	0 2 72 74 78 80 108 110 288 290 378 380 402 404	-1234748600190
SPT(16)	1034950870864718701	0 28 46 78 106 148 160 208 210 258 270 312 340 372 390 418	-1129481446768
SPT(16)	1034950941516958229	0 12 32 60 92 102 110 128 192 210 218 228 260 288 308 320	-1058829207240
SPT(16)	1034951146130869241	0 26 42 80 96 108 120 128 150 158 170 182 198 236 252 278	-854215296228
SPT(16)	1034952162100531501	0 22 60 78 88 100 106 126 142 162 168 180 190 208 246 268	161754366032
SPT(16)	1034952257856380861	0 6 20 62 92 132 140 152 246 258 266 306 336 378 392 398	257510215392
SPT(16)	1034952437605644367	0 24 34 42 52 64 120 124 162 166 222 234 244 252 262 286	437259478898
SPT(16)	1034952734386712027	0 20 60 90 110 120 144 150 176 182 206 216 236 266 306 326	734040546558
STPT(10)	1034952737441017691	0 2 6 8 18 20 30 32 36 38	737094852222