Prime p₀= 2038993110127933871 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2038991921428888403	0 18 24 26 80 108 116 134 150 168 176 204 258 260 266 284	-1188699045468
SPT(16)	2038992277084927867	0 42 84 94 150 174 216 234 352 370 412 436 492 502 544 586	-833043006004
SPT(16)	2038992480477961607	0 2 42 74 92 120 170 174 212 216 266 294 312 344 384 386	-629649972264
SPT(16)	2038992633244918619	0 20 48 50 72 80 92 102 188 198 210 218 240 242 270 290	-476883015252
STPT(10)	2038993007870799047	0 2 60 62 72 74 84 86 144 146	-102257134824
STPT(10)	2038993061441551679	0 2 48 50 60 62 72 74 120 122	-48686382192
STPT(10)	2038993597392444347	0 2 30 32 72 74 114 116 144 146	487264510476
STPT(10)	2038993672188483779	0 2 18 20 30 32 42 44 60 62	562060549908
SPT(16)	2038993709775020503	0 4 10 24 66 84 126 136 138 148 190 208 250 264 270 274	599647086632
STPT(10)	2038993811900039591	0 2 36 38 78 80 120 122 156 158	701772105720
SPT(16)	2038994026513776433	0 10 24 34 36 84 96 118 126 148 160 208 210 220 234 244	916385842562