Prime p₀= 4092762868790142731 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: Vitalii Koshura
db: batch=84, k=10, 2 28 2 28 2

SPT(16)	4092761325003380437	0 24 42 64 72 102 106 126 130 150 154 184 192 214 232 256	-1543786762294
STPT(10)	4092761752260549827	0 2 30 32 42 44 54 56 84 86	-1116529592904
TPT(14)	4092762171768912197	0 2 24 26 90 92 150 152 174 176 210 212 264 266	-697021230534
SPT(16)	4092762323654567989	0 18 30 54 72 84 132 138 174 180 228 240 258 282 294 312	-545135574742
SPT(16)	4092762365468175631	0 52 70 82 88 102 178 222 268 312 388 402 408 420 438 490	-503321967100
SPT(16)	4092762584354592341	0 18 30 42 72 96 98 116 222 240 242 266 296 308 320 338	-284435550390
SPT(13)	4092762968971278727	0 6 54 60 66 126 180 234 294 300 306 354 360	100181135996
STPT(10)	4092762997105227059	0 2 18 20 30 32 42 44 60 62	128315084328
SPT(16)	4092763022200598771	0 18 26 32 48 86 120 156 242 278 312 350 366 372 380 398	153410456040
SPT(16)	4092763241712190783	0 36 58 78 84 106 136 190 204 258 288 310 316 336 358 394	372922048052
SPT(16)	4092763246690670813	0 30 48 84 86 128 140 150 164 174 186 228 230 266 284 314	377900528082