Prime p₀= 3016130026115052389 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	3016129100670147809	0 8 42 78 90 92 98 132 188 222 228 230 242 278 312 320	-925444904580
STPT(10)	3016129122618384527	0 2 60 62 72 74 84 86 144 146	-903496667862
SPT(16)	3016129155364457651	0 12 26 80 96 110 122 128 150 156 168 182 198 252 266 278	-870750594738
SPT(13)	3016129519866337247	0 6 24 36 90 114 120 126 150 204 216 234 240	-506248715142
SPT(16)	3016129583087739073	0 16 18 70 76 154 168 184 270 286 300 378 384 436 438 454	-443027313316
SPT(16)	3016129705743269963	0 84 96 110 126 138 144 168 236 260 266 278 294 308 320 404	-320371782426
STPT(10)	3016130118042699797	0 2 12 14 42 44 72 74 84 86	91927647408
SPT(16)	3016130648229967603	0 10 48 60 126 130 196 210 304 318 384 388 454 466 504 514	622114915214
STPT(10)	3016130895517483229	0 2 12 14 90 92 168 170 180 182	869402430840
STPT(10)	3016131013190545301	0 2 6 8 18 20 30 32 36 38	987075492912
SPT(16)	3016131451310986663	0 36 46 48 88 90 100 118 156 174 184 186 226 228 238 274	1425195934274