Prime p₀= 912986557518522341 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 106 2 82 2 16 2 10 2 184 2 (?)
a_n: 0 2 138 140 246 248 330 332 348 350 360 362 546 548
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: 548
Found by: [SG]FX
db: batch=76, k=14, 136 106 82 16 10 184

TPT(14)	912985547458584959	0 2 72 74 162 164 168 170 228 230 258 260 270 272	-1010059937382
SPT(16)	912985619836481531	0 8 62 68 72 90 92 110 120 138 140 158 162 168 222 230	-937682040810
STPT(10)	912985815091066859	0 2 18 20 30 32 42 44 60 62	-742427455482
SPT(16)	912985925063479703	0 8 14 24 38 44 66 78 86 98 120 126 140 150 156 164	-632455042638
STPT(10)	912986026930060841	0 2 6 8 18 20 30 32 36 38	-530588461500
SPT(16)	912986134330913327	0 12 14 60 86 104 132 144 152 164 192 210 236 282 284 296	-423187609014
SPT(16)	912986557687436591	0 20 36 42 72 80 146 150 188 192 258 266 296 302 318 338	168914250
SPT(16)	912986581420179757	0 22 36 52 54 82 84 130 186 232 234 262 264 280 294 316	23901657416
SPT(16)	912986604704164943	0 30 44 66 84 96 116 144 206 234 254 266 284 306 320 350	47185642602
SPT(16)	912986779031209903	0 10 168 174 180 216 234 256 258 280 298 334 340 346 504 514	221512687562
SPT(16)	912987006422690233	0 4 24 48 58 60 66 84 100 118 124 126 136 160 180 184	448904167892