Prime p₀= 1049036238429748097 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: stoneageman
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1049033072101100501	0 30 42 116 122 150 182 218 240 276 308 336 342 416 428 458	-3166328647596
SPT(16)	1049033287968103349	0 38 62 72 98 120 132 228 272 368 380 402 428 438 462 500	-2950461644748
SPT(18)	1049033894397608921	0 62 68 72 86 98 162 182 198 200 216 236 300 312 326 330 336 398	-2344032139176
STPT(10)	1049034180152785217	0 2 30 32 42 44 54 56 84 86	-2058276962880
STPT(10)	1049034313082580491	0 2 6 8 18 20 30 32 36 38	-1925347167606
SPT(16)	1049034683228788327	0 22 60 84 100 102 114 154 180 220 232 234 250 274 312 334	-1555200959770
SPT(16)	1049037465857984227	0 4 22 34 42 52 70 102 202 234 252 262 270 282 300 304	1227428236130
TPT(14)	1049037469346791649	0 2 18 20 30 32 138 140 168 170 180 182 258 260	1230917043552
TPT(14)	1049037609665002667	0 2 150 152 204 206 294 296 372 374 384 386 402 404	1371235254570
SPT(16)	1049037683843558329	0 18 22 114 142 180 228 268 294 334 382 420 448 540 544 562	1445413810232
SPT(16)	1049037820197285769	0 28 48 60 100 102 130 160 240 270 298 300 340 352 372 400	1581767537672