Prime p₀= 2112001372937517119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: Landjunge
db: batch=80, k=10, 2 40 2 16 2

SPT(16)	2111999948282862223	0 6 24 66 70 84 94 180 190 276 286 300 304 346 364 370	-1424654654896
SPT(16)	2111999984249361599	0 2 12 68 110 120 138 180 182 224 242 252 294 350 360 362	-1388688155520
STPT(10)	2112000066903912011	0 2 30 32 78 80 126 128 156 158	-1306033605108
SPT(16)	2112000094694319677	0 14 42 80 122 126 150 156 170 176 200 204 246 284 312 326	-1278243197442
TPT(14)	2112000628679828321	0 2 30 32 66 68 78 80 120 122 138 140 156 158	-744257688798
SPT(16)	2112000744671878871	0 62 122 156 180 188 230 240 308 318 360 368 392 426 486 548	-628265638248
TPT(14)	2112001399882211639	0 2 42 44 60 62 102 104 180 182 198 200 222 224	26944694520
SPT(16)	2112001752625653407	0 2 32 36 126 134 204 212 234 242 312 320 410 414 444 446	379688136288
SPT(16)	2112001795208634943	0 28 48 54 66 70 84 96 208 220 234 238 250 256 276 304	422271117824
STPT(10)	2112002110590835427	0 2 30 32 42 44 54 56 84 86	737653318308
SPT(16)	2112002157092305523	0 36 50 104 110 114 134 170 180 216 236 240 246 300 314 350	784154788404