Prime p₀= 774179305334149409 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]steini
db: batch=73, k=10, 2 28 2 28 2

STPT(10)	774178191422256977	0 2 42 44 72 74 102 104 144 146	-1113911892432
SPT(16)	774178476471590459	0 14 80 84 92 104 114 128 174 188 198 210 218 222 288 302	-828862558950
STPT(10)	774178738851664841	0 2 36 38 78 80 120 122 156 158	-566482484568
SPT(16)	774178789546442023	0 16 18 46 58 66 100 108 148 156 190 198 210 238 240 256	-515787707386
SPT(16)	774178870187273461	0 18 52 78 138 148 186 192 226 232 270 280 340 366 400 418	-435146875948
SPT(16)	774178952056672753	0 28 34 64 66 90 94 108 166 180 184 208 210 240 246 274	-353277476656
SPT(16)	774179538260696933	0 36 50 68 74 84 110 144 200 234 260 270 276 294 308 344	232926547524
STPT(10)	774179770349727407	0 2 12 14 42 44 72 74 84 86	465015577998
SPT(16)	774180040908509311	0 10 60 72 82 96 112 118 150 156 172 186 196 208 258 268	735574359902
STPT(10)	774180048610498709	0 2 48 50 90 92 132 134 180 182	743276349300
SPT(16)	774180082847710753	0 30 36 54 90 96 118 154 210 246 268 274 310 328 334 364	777513561344