Prime p₀= 3034511015486612447 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: [SG]ATA-Rolf
db: batch=82, k=10, 2 28 2 28 2

SPT(13)	3034510362971816213	0 6 30 60 66 90 150 210 234 240 270 294 300	-652514796234
STPT(10)	3034510381304750441	0 2 36 38 78 80 120 122 156 158	-634181862006
STPT(10)	3034510541777446091	0 2 6 8 48 50 90 92 96 98	-473709166356
STPT(10)	3034510716178051211	0 2 6 8 48 50 90 92 96 98	-299308561236
SPT(16)	3034510716580324081	0 6 22 28 36 60 106 192 196 282 328 352 360 366 382 388	-298906288366
STPT(10)	3034510727535964889	0 2 18 20 60 62 102 104 120 122	-287950647558
STPT(10)	3034511028193969109	0 2 78 80 120 122 162 164 240 242	12707356662
STPT(10)	3034511050137950819	0 2 42 44 60 62 78 80 120 122	34651338372
SPT(16)	3034511149179586187	0 2 20 42 60 62 72 102 182 212 222 224 242 264 282 284	133692973740
SPT(16)	3034511569807957639	0 4 30 52 64 70 124 138 154 168 222 228 240 262 288 292	554321345192
STPT(10)	3034511841640362899	0 2 12 14 30 32 48 50 60 62	826153750452