Prime p₀= 1438237529387782307 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: Theadalus
db: batch=78, k=10, 2 28 2 28 2

SPT(20)	1438235670238464833	0 26 36 50 54 60 84 126 260 306 374 420 554 596 620 626 630 644 654 680	-1859149317474
STPT(10)	1438235733281927477	0 2 42 44 72 74 102 104 144 146	-1796105854830
SPT(16)	1438236028507481197	0 22 40 42 46 60 66 70 96 100 106 120 124 126 144 166	-1500880301110
SPT(16)	1438236186010488871	0 30 40 66 102 112 142 156 166 180 210 220 256 282 292 322	-1343377293436
SPT(16)	1438236465211296973	0 10 18 36 60 66 94 120 154 180 208 214 238 256 264 274	-1064176485334
SPT(16)	1438237398324782933	0 14 38 50 80 108 138 140 174 176 206 234 264 276 300 314	-131062999374
STPT(10)	1438237590895560797	0 2 24 26 42 44 60 62 84 86	61507778490
SPT(16)	1438237793045119067	0 36 50 60 66 102 240 312 344 416 554 590 596 606 620 656	263657336760
SPT(16)	1438237862615095873	0 16 28 34 60 64 88 108 196 216 240 244 270 276 288 304	333227313566
STPT(10)	1438238422218503831	0 2 30 32 78 80 126 128 156 158	892830721524
TPT(14)	1438238614270036121	0 2 6 8 30 32 48 50 138 140 156 158 168 170	1084882253814