Prime p₀= 1264991795252275967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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 28 2 28 2

SPT(16)	1264990085670157487	0 6 60 114 156 212 240 270 296 326 354 410 452 506 560 566	-1709582118480
STPT(10)	1264990237865789759	0 2 42 44 60 62 78 80 120 122	-1557386486208
SPT(16)	1264990264768354213	0 66 88 118 160 168 174 178 246 250 256 264 306 336 358 424	-1530483921754
TPT(14)	1264990778572319717	0 2 84 86 90 92 174 176 282 284 294 296 330 332	-1016679956250
SPT(16)	1264991014323251351	0 26 42 80 86 92 96 110 138 152 156 162 168 206 222 248	-780929024616
SPT(16)	1264991130022138039	0 22 42 72 174 204 210 222 262 274 280 310 412 442 462 484	-665230137928
STPT(10)	1264991869263762527	0 2 30 32 42 44 54 56 84 86	74011486560
STPT(10)	1264992239942842391	0 2 36 38 78 80 120 122 156 158	444690566424
STPT(10)	1264992249575544167	0 2 30 32 42 44 54 56 84 86	454323268200
SPT(16)	1264992360284019293	0 50 56 78 156 170 188 210 224 246 264 278 356 378 384 434	565031743326
SPT(18)	1264992754948137613	0 60 94 114 156 228 256 286 294 310 318 348 376 448 490 510 544 604	959695861646