Prime p₀= 1267537093598816837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Megacruncher
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1267536115448905147	0 4 10 42 70 72 112 114 130 132 172 174 202 234 240 244	-978149911690
SPT(16)	1267536213693000509	0 14 30 32 144 168 170 222 230 282 284 308 420 422 438 452	-879905816328
STPT(10)	1267536220294361957	0 2 30 32 60 62 90 92 120 122	-873304454880
SPT(16)	1267536564463366753	0 30 54 64 96 118 156 180 184 208 246 268 300 310 334 364	-529135450084
SPT(16)	1267536593120575619	0 18 62 80 102 108 162 164 228 230 284 290 312 330 374 392	-500478241218
SPT(16)	1267536795891425209	0 34 40 120 142 148 190 198 244 252 294 300 322 402 408 442	-297707391628
STPT(10)	1267537115945783099	0 2 18 20 30 32 42 44 60 62	22346966262
TPT(14)	1267537267865414891	0 2 36 38 48 50 156 158 228 230 246 248 270 272	174266598054
STPT(10)	1267537401869063597	0 2 24 26 42 44 60 62 84 86	308270246760
SPT(16)	1267537911092932019	0 62 78 102 132 140 234 254 288 308 402 410 440 464 480 542	817494115182
SPT(16)	1267538158924331803	0 28 34 48 66 84 94 108 196 210 220 238 256 270 276 304	1065325514966