Prime p₀= 789045377709249977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: [SG]FX
db: batch=73, k=10, 2 28 2 10 2

STPT(10)	789044384542619507	0 2 42 44 162 164 282 284 324 326	-993166630470
STPT(10)	789044401355771777	0 2 60 62 72 74 84 86 144 146	-976353478200
SPT(16)	789044617612843909	0 22 42 52 70 78 94 114 148 168 184 192 210 220 240 262	-760096406068
SPT(16)	789044810892845131	0 10 22 28 36 106 130 150 238 258 282 352 360 366 378 388	-566816404846
SPT(16)	789044895444727267	0 12 30 40 66 82 106 124 222 240 264 280 306 316 334 346	-482264522710
SPT(16)	789045312601397101	0 18 40 66 76 78 82 90 208 216 220 222 232 258 280 298	-65107852876
STPT(10)	789045406623229541	0 2 30 32 78 80 126 128 156 158	28913979564
TPT(14)	789045463423705247	0 2 12 14 90 92 102 104 114 116 132 134 144 146	85714455270
SPT(16)	789045467781300871	0 18 30 52 58 60 70 148 150 228 238 240 246 268 280 298	90072050894
SPT(16)	789045930310941637	0 34 46 90 94 96 112 124 222 234 250 252 256 300 312 346	552601691660
SPT(16)	789046089483464531	0 12 42 96 102 180 228 246 252 270 318 396 402 456 486 498	711774214554