Prime p₀= 1167427664873166797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: HenkM
db: batch=77, k=10, 2 40 2 28 2

STPT(10)	1167425533728027347	0 2 54 56 72 74 90 92 144 146	-2131145139450
STPT(10)	1167426664414727147	0 2 54 56 72 74 90 92 144 146	-1000458439650
SPT(16)	1167427082219710069	0 52 88 108 120 130 132 154 168 190 192 202 214 234 270 322	-582653456728
SPT(16)	1167427182064429301	0 8 30 42 92 98 120 138 182 200 222 228 278 290 312 320	-482808737496
STPT(10)	1167427541615951387	0 2 30 32 72 74 114 116 144 146	-123257215410
SPT(16)	1167427619615840689	0 30 40 88 130 168 184 198 250 264 280 318 360 408 418 448	-45257326108
STPT(10)	1167427704651311429	0 2 18 20 30 32 42 44 60 62	39778144632
STPT(10)	1167427744221899957	0 2 30 32 42 44 54 56 84 86	79348733160
STPT(10)	1167428024013986237	0 2 24 26 42 44 60 62 84 86	359140819440
SPT(16)	1167428230271075089	0 10 52 58 70 72 100 102 118 120 148 150 162 168 210 220	565397908292
SPT(16)	1167428530563319697	0 2 36 66 72 92 102 150 212 260 270 290 296 326 360 362	865690152900