Prime p₀= 4062996833860296947 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: [AF] Kalianthys
db: batch=84, k=10, 2 22 2 16 2

SPT(13)	4062995242094913359	0 42 114 162 204 210 252 294 300 342 390 462 504	-1591765383588
TPT(14)	4062995420428240937	0 2 12 14 42 44 102 104 144 146 180 182 222 224	-1413432056010
SPT(16)	4062995682582650683	0 4 6 28 46 88 108 114 130 136 156 198 216 238 240 244	-1151277646264
SPT(16)	4062995814705253999	0 34 42 94 112 172 180 184 210 214 222 282 300 352 360 394	-1019155042948
SPT(16)	4062996582199748197	0 4 30 34 60 70 82 114 130 162 174 184 210 214 240 244	-251660548750
STPT(10)	4062996597341564747	0 2 12 14 72 74 132 134 144 146	-236518732200
SPT(16)	4062996947058716753	0 6 20 30 78 104 108 114 140 146 150 176 224 234 248 254	113198419806
STPT(10)	4062997050911372657	0 2 30 32 72 74 114 116 144 146	217051075710
STPT(10)	4062997074878385377	0 2 24 26 42 44 60 62 84 86	241018088430
STPT(10)	4062997079202487631	0 2 6 8 18 20 30 32 36 38	245342190684
STPT(10)	4062997145883468467	0 2 54 56 132 134 210 212 264 266	312023171520