Prime p₀= 1012093470336756107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Spectrum
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1012092758223301589	0 8 38 74 92 128 132 134 198 200 204 240 258 294 324 332	-712113454518
SPT(16)	1012093122900798461	0 48 110 120 146 152 176 188 210 222 246 252 278 288 350 398	-347435957646
STPT(10)	1012093150592222549	0 2 48 50 90 92 132 134 180 182	-319744533558
SPT(16)	1012093371474379877	0 20 56 74 132 140 144 152 204 212 216 224 282 300 336 356	-98862376230
SPT(16)	1012093422505349477	0 30 72 74 80 86 156 206 300 350 420 426 432 434 476 506	-47831406630
TPT(14)	1012093426642198319	0 2 12 14 18 20 42 44 72 74 102 104 150 152	-43694557788
SPT(16)	1012093873780820321	0 12 30 36 56 86 110 116 162 168 192 222 242 248 266 278	403444064214
SPT(16)	1012094481047521961	0 12 20 26 36 42 62 92 96 126 146 152 162 168 176 188	1010710765854
STPT(10)	1012094733690375791	0 2 30 32 120 122 210 212 240 242	1263353619684
SPT(16)	1012094748528335167	0 12 40 66 90 114 124 154 222 252 262 286 310 336 364 376	1278191579060
STPT(10)	1012094949116357549	0 2 42 44 60 62 78 80 120 122	1478779601442