Prime p₀= 1231578860217247427 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: Megacruncher
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1231577505830674333	0 16 24 66 78 84 88 100 114 126 130 136 148 190 198 214	-1354386573094
SPT(16)	1231577659369860499	0 12 42 82 112 124 142 168 184 210 228 240 270 310 340 352	-1200847386928
SPT(16)	1231577936642790673	0 30 34 58 66 70 84 88 96 100 114 118 126 150 154 184	-923574456754
STPT(10)	1231578518776941659	0 2 42 44 60 62 78 80 120 122	-341440305768
SPT(16)	1231578588327038513	0 48 56 78 84 146 158 206 228 276 288 350 356 378 386 434	-271890208914
STPT(10)	1231578649631443037	0 2 12 14 42 44 72 74 84 86	-210585804390
SPT(16)	1231578883853752249	0 18 70 100 144 154 160 168 214 222 228 238 282 312 364 382	23636504822
TPT(14)	1231579066359592187	0 2 12 14 30 32 72 74 210 212 222 224 282 284	206142344760
STPT(10)	1231579096235704817	0 2 30 32 42 44 54 56 84 86	236018457390
SPT(16)	1231579164918264469	0 42 60 82 88 102 108 114 238 244 250 264 270 292 310 352	304701017042
SPT(16)	1231579287766350643	0 16 58 96 120 126 136 186 190 240 250 256 280 318 360 376	427549103216