Prime p₀= 4305651148743115019 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: Chooka
db: batch=85, k=10, 2 28 2 28 2

SPT(16)	4305648938748276401	0 2 20 42 50 78 80 120 218 258 260 288 296 318 336 338	-2209994838618
SPT(16)	4305649022116369397	0 2 42 116 126 134 176 204 242 270 312 320 330 404 444 446	-2126626745622
SPT(16)	4305650225800669679	0 50 84 104 110 152 164 174 308 318 330 372 378 398 432 482	-922942445340
SPT(16)	4305650569072382227	0 12 46 84 96 126 136 144 202 210 220 250 262 300 334 346	-579670732792
SPT(16)	4305650734113219833	0 30 44 84 90 150 174 206 234 266 290 350 356 396 410 440	-414629895186
SPT(16)	4305651047246921689	0 4 22 28 52 58 70 78 94 102 114 120 144 150 168 172	-101496193330
STPT(10)	4305651321257396837	0 2 24 26 42 44 60 62 84 86	172514281818
SPT(16)	4305651322798588831	0 40 52 60 78 162 172 220 288 336 346 430 448 456 468 508	174055473812
TPT(14)	4305651635264021921	0 2 126 128 156 158 240 242 258 260 306 308 420 422	486520906902
SPT(16)	4305653262194527319	0 18 20 44 48 60 68 72 170 174 182 194 198 222 224 242	2113451412300
STPT(10)	4305653310738144941	0 2 36 38 78 80 120 122 156 158	2161995029922