Prime p₀= 789045406623229541 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: [SG]FX
db: batch=73, k=10, 2 28 2 46 2

STPT(10)	789044401355771777	0 2 60 62 72 74 84 86 144 146	-1005267457764
SPT(16)	789044617612843909	0 22 42 52 70 78 94 114 148 168 184 192 210 220 240 262	-789010385632
SPT(16)	789044810892845131	0 10 22 28 36 106 130 150 238 258 282 352 360 366 378 388	-595730384410
SPT(16)	789044895444727267	0 12 30 40 66 82 106 124 222 240 264 280 306 316 334 346	-511178502274
SPT(16)	789045312601397101	0 18 40 66 76 78 82 90 208 216 220 222 232 258 280 298	-94021832440
STPT(10)	789045377709249977	0 2 30 32 42 44 54 56 84 86	-28913979564
TPT(14)	789045463423705247	0 2 12 14 90 92 102 104 114 116 132 134 144 146	56800475706
SPT(16)	789045467781300871	0 18 30 52 58 60 70 148 150 228 238 240 246 268 280 298	61158071330
SPT(16)	789045930310941637	0 34 46 90 94 96 112 124 222 234 250 252 256 300 312 346	523687712096
SPT(16)	789046089483464531	0 12 42 96 102 180 228 246 252 270 318 396 402 456 486 498	682860234990
SPT(16)	789046234707850577	0 6 66 84 86 104 110 146 174 210 216 234 236 254 314 320	828084621036