Prime p₀= 1303866970031048789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: HenkM
db: batch=77, k=10, 2 40 2 16 2

STPT(10)	1303865476175275289	0 2 12 14 90 92 168 170 180 182	-1493855773500
SPT(16)	1303865842204209649	0 28 78 88 120 124 150 154 348 352 378 382 414 424 474 502	-1127826839140
SPT(16)	1303866454961698289	0 68 98 104 120 134 158 180 182 204 228 242 258 264 294 362	-515069350500
SPT(16)	1303866539648690651	0 12 30 60 72 86 102 152 186 236 252 266 278 308 326 338	-430382358138
STPT(10)	1303866837518724077	0 2 30 32 42 44 54 56 84 86	-132512324712
STPT(12)	1303866906275594117	0 2 30 32 42 44 72 74 84 86 114 116	-63755454672
SPT(16)	1303867120552070689	0 30 40 52 88 102 108 154 198 244 250 264 300 312 322 352	150521021900
SPT(16)	1303867166070270799	0 4 22 48 60 82 112 132 160 180 210 232 244 270 288 292	196039222010
STPT(10)	1303867225911751937	0 2 42 44 72 74 102 104 144 146	255880703148
STPT(10)	1303867695207323801	0 2 36 38 78 80 120 122 156 158	725176275012
SPT(16)	1303867716231722441	0 30 56 72 156 170 186 200 258 272 288 302 386 402 428 458	746200673652