Prime p₀= 909300152551255649 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: HenkM
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	909298717153776997	0 42 112 124 132 166 190 204 262 276 300 334 342 354 424 466	-1435397478652
STPT(10)	909298749889704407	0 2 72 74 102 104 132 134 204 206	-1402661551242
SPT(16)	909299068803224887	0 40 42 112 144 154 162 172 282 292 300 310 342 412 414 454	-1083748030762
SPT(16)	909299105559468913	0 66 70 78 100 106 108 136 210 238 240 246 268 276 280 346	-1046991786736
STPT(10)	909299329139607941	0 2 78 80 108 110 138 140 216 218	-823411647708
SPT(16)	909299361541843201	0 30 42 46 96 130 142 156 196 210 222 256 306 310 322 352	-791009412448
STPT(10)	909300200136893861	0 2 6 8 18 20 30 32 36 38	47585638212
STPT(12)	909300296401523417	0 2 54 56 84 86 210 212 240 242 294 296	143850267768
STPT(10)	909300347987125361	0 2 36 38 78 80 120 122 156 158	195435869712
SPT(16)	909300390572850977	0 26 32 56 116 140 150 186 260 296 306 330 390 414 420 446	238021595328
STPT(10)	909300778731848117	0 2 24 26 42 44 60 62 84 86	626180592468