Prime p₀= 2050798759445418107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Landjunge
db: batch=80, k=10, 2 28 2 40 2

SPT(16)	2050797869744591131	0 22 28 48 66 132 150 160 168 178 196 262 280 300 306 328	-889700826976
STPT(10)	2050798263899502881	0 2 30 32 78 80 126 128 156 158	-495545915226
SPT(16)	2050798373194875107	0 14 24 86 140 152 156 194 282 320 324 336 390 452 462 476	-386250543000
STPT(10)	2050798401755260151	0 2 36 38 78 80 120 122 156 158	-357690157956
STPT(10)	2050798559151076739	0 2 42 44 90 92 138 140 180 182	-200294341368
STPT(10)	2050798757255253287	0 2 42 44 72 74 102 104 144 146	-2190164820
TPT(14)	2050798854516419477	0 2 54 56 84 86 150 152 222 224 240 242 330 332	95071001370
SPT(16)	2050799201563668883	0 6 40 46 64 148 178 208 216 246 276 360 378 384 418 424	442118250776
SPT(16)	2050799284859074229	0 2 32 60 62 68 72 90 110 128 132 138 140 168 198 200	525413656122
TPT(14)	2050799755773865799	0 2 180 182 288 290 372 374 528 530 570 572 630 632	996328447692
SPT(16)	2050799849247978083	0 24 38 68 104 150 170 180 224 234 254 300 336 366 380 404	1089802559976