Prime p₀= 2206322929929883757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 88 2 46 2 28 2 52 2 76 2 (?)
a_n: 0 2 12 14 102 104 150 152 180 182 234 236 312 314
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: 314
Found by: Landjunge
db: batch=81, k=14, 10 88 46 28 52 76

SPT(16)	2206321268696488651	0 36 58 66 136 138 162 166 222 226 250 252 322 330 352 388	-1661233395106
SPT(16)	2206321379525141071	0 6 30 36 58 72 76 96 142 162 166 180 202 208 232 238	-1550404742686
STPT(10)	2206321538321762747	0 2 30 32 42 44 54 56 84 86	-1391608121010
SPT(16)	2206321698755849959	0 18 22 30 48 78 102 160 240 298 322 352 370 378 382 400	-1231174033798
TPT(14)	2206322181194857547	0 2 120 122 132 134 150 152 162 164 174 176 204 206	-748735026210
SPT(16)	2206322769635055389	0 38 68 80 104 108 132 140 162 170 194 198 222 234 264 302	-160294828368
SPT(16)	2206323313473015419	0 42 92 104 158 168 194 204 278 288 314 324 378 390 440 482	383543131662
SPT(16)	2206323411350169899	0 14 54 68 102 168 198 222 260 284 314 380 414 428 468 482	481420286142
STPT(10)	2206323528783661487	0 2 54 56 72 74 90 92 144 146	598853777730
SPT(16)	2206323640871482841	0 8 56 78 80 120 126 168 170 212 218 258 260 282 330 338	710941599084
SPT(16)	2206324306116876697	0 36 52 76 94 114 120 124 192 196 202 222 240 264 280 316	1376186992940