Prime p₀= 1119089321667043757 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: MarkRBright
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1119088085764372813	0 24 66 78 90 138 174 220 234 280 316 364 376 388 430 454	-1235902670944
SPT(16)	1119088268873163229	0 34 42 58 60 84 90 102 130 142 148 172 174 190 198 232	-1052793880528
STPT(10)	1119088282627644737	0 2 42 44 72 74 102 104 144 146	-1039039399020
STPT(10)	1119088434456539891	0 2 36 38 78 80 120 122 156 158	-887210503866
SPT(16)	1119088498530967037	0 6 20 30 36 50 66 86 90 110 126 140 146 156 170 176	-823136076720
SPT(18)	1119089139963801833	0 14 66 84 98 134 158 170 198 296 324 336 360 396 410 428 480 494	-181703241924
STPT(10)	1119089783043693281	0 2 30 32 120 122 210 212 240 242	461376649524
STPT(10)	1119089862264557369	0 2 18 20 30 32 42 44 60 62	540597513612
STPT(10)	1119090063532421507	0 2 72 74 102 104 132 134 204 206	741865377750
STPT(12)	1119090114744447059	0 2 12 14 42 44 60 62 90 92 102 104	793077403302
SPT(16)	1119090163379148223	0 16 30 40 46 106 168 186 250 268 330 390 396 406 420 436	841712104466