Prime p₀= 1386547775259485327 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 34 2 22 2 148 2 28 2 16 2 (?)
a_n: 0 2 24 26 60 62 84 86 234 236 264 266 282 284
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: 284
Found by: Boliver
db: batch=77, k=14, 22 34 22 148 28 16

SPT(16)	1386546951595033469	0 8 14 180 182 212 222 230 282 290 300 330 332 498 504 512	-823664451858
STPT(10)	1386547191428210639	0 2 18 20 60 62 102 104 120 122	-583831274688
SPT(16)	1386547290259416553	0 30 36 58 88 100 118 160 186 228 246 258 288 310 316 346	-485000068774
SPT(16)	1386547507621538929	0 24 112 144 148 150 154 168 214 228 232 234 238 270 358 382	-267637946398
SPT(16)	1386547669551801473	0 26 54 104 110 134 146 210 224 288 300 324 330 380 408 434	-105707683854
STPT(10)	1386547768828534139	0 2 42 44 60 62 78 80 120 122	-6430951188
SPT(16)	1386547784890274953	0 24 30 34 48 78 90 100 168 178 190 220 234 238 244 268	9630789626
STPT(10)	1386547953371323667	0 2 12 14 42 44 72 74 84 86	178111838340
SPT(16)	1386547960171641713	0 8 50 54 66 116 150 164 180 194 228 278 290 294 336 344	184912156386
STPT(10)	1386548106872459801	0 2 6 8 48 50 90 92 96 98	331612974474
SPT(16)	1386548406832028411	0 98 138 140 168 192 222 242 258 278 308 332 360 362 402 500	631572543084