Prime p₀= 1572029504729240699 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: crashtech
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1572028942043398843	0 30 54 58 88 114 130 154 174 198 214 240 270 274 298 328	-562685841856
SPT(16)	1572029075862375551	0 18 32 56 92 116 122 128 240 246 252 276 312 336 350 368	-428866865148
STPT(10)	1572029299030424807	0 2 42 44 72 74 102 104 144 146	-205698815892
SPT(16)	1572029310435134549	0 38 50 108 110 150 164 242 270 348 362 402 404 462 474 512	-194294106150
STPT(10)	1572029407383490841	0 2 30 32 60 62 90 92 120 122	-97345749858
STPT(10)	1572029420488554359	0 2 12 14 90 92 168 170 180 182	-84240686340
SPT(16)	1572029622384893531	0 12 26 48 56 72 126 140 198 212 266 282 290 312 326 338	117655652832
SPT(16)	1572029705281431367	0 30 52 60 66 70 100 156 166 222 252 256 262 270 292 322	200552190668
SPT(16)	1572029881206568943	0 14 24 66 74 80 96 126 134 164 180 186 194 236 246 260	376477328244
TPT(14)	1572030280692095657	0 2 42 44 54 56 102 104 114 116 222 224 252 254	775962854958
SPT(16)	1572030283973138749	0 22 28 30 48 60 70 78 82 90 100 112 130 132 138 160	779243898050