Prime p₀= 1307314632230501561 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: vaughan
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1307313597434814061	0 82 96 108 112 138 180 190 198 208 250 276 280 292 306 388	-1034795687500
TPT(14)	1307313635518947599	0 2 90 92 102 104 132 134 420 422 438 440 462 464	-996711553962
STPT(10)	1307313688433466059	0 2 78 80 150 152 222 224 300 302	-943797035502
STPT(10)	1307314249978774391	0 2 6 8 48 50 90 92 96 98	-382251727170
STPT(10)	1307314259442907487	0 2 30 32 72 74 114 116 144 146	-372787594074
SPT(16)	1307314423439973199	0 18 58 60 88 118 124 130 168 174 180 210 238 240 280 298	-208790528362
SPT(16)	1307314824422893519	0 10 70 78 84 94 102 154 168 220 228 238 244 252 312 322	192192391958
STPT(10)	1307314946398958207	0 2 42 44 72 74 102 104 144 146	314168456646
STPT(10)	1307315358083449457	0 2 30 32 42 44 54 56 84 86	725852947896
STPT(10)	1307315450590929119	0 2 18 20 30 32 42 44 60 62	818360427558
STPT(10)	1307315620916803877	0 2 30 32 42 44 54 56 84 86	988686302316