Prime p₀= 1056040127227787321 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: stoneageman
db: batch=76, k=10, 2 4 2 40 2

SPT(16)	1056039049621918823	0 14 30 38 54 104 110 138 140 168 174 224 240 248 264 278	-1077605868498
STPT(12)	1056039259960677437	0 2 42 44 54 56 90 92 102 104 144 146	-867267109884
SPT(16)	1056039277274470343	0 18 30 78 84 110 116 140 264 288 294 320 326 374 386 404	-849953316978
SPT(16)	1056039393256666139	0 12 38 54 72 80 114 144 248 278 312 320 338 354 380 392	-733971121182
TPT(14)	1056039807195107027	0 2 12 14 150 152 252 254 324 326 360 362 402 404	-320032680294
STPT(10)	1056039917222408939	0 2 18 20 30 32 42 44 60 62	-210005378382
SPT(16)	1056040226588187233	0 18 24 30 56 60 74 86 108 120 134 138 164 170 176 194	99360399912
SPT(16)	1056040420776095003	0 8 54 74 78 96 98 168 236 306 308 326 330 350 396 404	293548307682
STPT(10)	1056040958218373087	0 2 42 44 102 104 162 164 204 206	830990585766
SPT(16)	1056041006911019849	0 2 12 44 90 128 140 150 212 222 234 272 318 350 360 362	879683232528
STPT(10)	1056041107014003137	0 2 24 26 42 44 60 62 84 86	979786215816