Prime p₀= 2250334878536512289 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2250333395611707347	0 2 30 32 60 62 84 86 102 104 132 134 144 146	-1482924804942
SPT(16)	2250333472828801513	0 60 84 90 126 130 136 154 216 234 240 244 280 286 310 370	-1405707710776
STPT(10)	2250333676468986047	0 2 30 32 60 62 90 92 120 122	-1202067526242
STPT(10)	2250333810926003951	0 2 36 38 78 80 120 122 156 158	-1067610508338
TPT(14)	2250334594212115589	0 2 78 80 138 140 162 164 168 170 252 254 300 302	-284324396700
STPT(10)	2250334792308880019	0 2 78 80 120 122 162 164 240 242	-86227632270
STPT(10)	2250334936712225549	0 2 18 20 30 32 42 44 60 62	58175713260
SPT(16)	2250335197531874203	0 34 58 64 78 84 88 126 148 186 190 196 210 216 240 274	318995361914
STPT(10)	2250335366128735979	0 2 42 44 60 62 78 80 120 122	487592223690
SPT(16)	2250335474059565923	0 34 64 90 156 196 210 228 286 304 318 358 424 450 480 514	595523053634
STPT(10)	2250335562532704347	0 2 30 32 42 44 54 56 84 86	683996192058