Prime p₀= 2299865323378691639 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: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2299863880907239811	0 30 36 66 110 120 140 150 182 192 212 222 266 296 302 332	-1442471451828
STPT(10)	2299864494605028887	0 2 30 32 42 44 54 56 84 86	-828773662752
SPT(16)	2299864714422326521	0 18 46 60 66 106 150 162 196 208 252 292 298 312 340 358	-608956365118
STPT(10)	2299864762600302221	0 2 36 38 78 80 120 122 156 158	-560778389418
TPT(16)	2299864993997576351	0 2 78 80 90 92 258 260 288 290 498 500 528 530 570 572	-329381115288
SPT(16)	2299865062612306031	0 30 36 42 56 96 120 122 126 128 152 192 206 212 218 248	-260766385608
STPT(10)	2299865393765411579	0 2 42 44 120 122 198 200 240 242	70386719940
SPT(16)	2299865551902619279	0 34 42 52 88 112 132 148 174 190 210 234 270 280 288 322	228523927640
STPT(10)	2299865739346790939	0 2 42 44 60 62 78 80 120 122	415968099300
STPT(10)	2299865757506893361	0 2 30 32 60 62 90 92 120 122	434128201722
STPT(10)	2299866006378238547	0 2 60 62 72 74 84 86 144 146	682999546908