Prime p₀= 2556429694629496097 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

TPT(14)	2556427623781121159	0 2 12 14 18 20 60 62 102 104 168 170 192 194	-2070848374938
SPT(16)	2556427832435734739	0 14 60 108 110 140 182 210 212 240 282 312 314 362 408 422	-1862193761358
TPT(14)	2556428205478568567	0 2 12 14 24 26 84 86 150 152 222 224 252 254	-1489150927530
SPT(16)	2556429375526980847	0 10 54 66 76 82 90 106 150 166 174 180 190 202 246 256	-319102515250
SPT(16)	2556429488280906739	0 18 30 114 130 132 138 180 202 244 250 252 268 352 364 382	-206348589358
STPT(10)	2556429564440569721	0 2 36 38 78 80 120 122 156 158	-130188926376
SPT(16)	2556430463595025999	0 28 34 42 60 72 88 100 102 114 130 142 160 168 174 202	768965529902
STPT(10)	2556430496795481989	0 2 12 14 90 92 168 170 180 182	802165985892
STPT(10)	2556430543292331227	0 2 30 32 42 44 54 56 84 86	848662835130
SPT(16)	2556430990781558621	0 68 78 96 110 146 150 282 356 488 492 528 542 560 570 638	1296152062524
SPT(16)	2556431189513071459	0 30 78 102 108 112 142 168 172 198 228 232 238 262 310 340	1494883575362