Prime p₀= 1303460231221317119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: HenkM
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1303458929992468211	0 18 26 62 92 96 132 138 140 146 182 186 216 252 260 278	-1301228848908
STPT(10)	1303458998400525479	0 2 42 44 60 62 78 80 120 122	-1232820791640
SPT(16)	1303459271480414479	0 28 70 78 82 90 120 144 148 172 202 210 214 222 264 292	-959740902640
STPT(10)	1303459277564837597	0 2 12 14 42 44 72 74 84 86	-953656479522
SPT(16)	1303459640161606243	0 24 40 46 54 96 144 166 198 220 268 310 318 324 340 364	-591059710876
SPT(16)	1303460119428590657	0 24 42 44 72 140 150 186 230 266 276 344 372 374 392 416	-111792726462
SPT(16)	1303460232898345727	0 2 30 32 36 56 74 80 126 132 150 170 174 176 204 206	1677028608
SPT(16)	1303460277582188701	0 6 96 108 156 162 166 178 180 192 196 202 250 262 352 358	46360871582
SPT(16)	1303460442517919453	0 6 8 48 78 96 98 120 164 186 188 206 236 276 278 284	211296602334
SPT(16)	1303460468829972247	0 4 22 42 46 82 120 126 160 166 204 240 244 264 282 286	237608655128
SPT(16)	1303460471832386363	0 26 60 66 68 114 200 240 404 444 530 576 578 584 618 644	240611069244