Prime p₀= 2377423855795761317 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: herby44
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2377422922581977069	0 18 24 42 44 78 92 108 134 150 164 198 200 218 224 242	-933213784248
SPT(16)	2377423225436974433	0 8 38 66 68 80 144 168 176 200 264 276 278 306 336 344	-630358786884
SPT(16)	2377423415861548321	0 42 60 72 88 102 112 138 142 168 178 192 208 220 238 280	-439934212996
STPT(10)	2377423464276653381	0 2 30 32 120 122 210 212 240 242	-391519107936
STPT(10)	2377423520916937289	0 2 18 20 30 32 42 44 60 62	-334878824028
STPT(10)	2377423589211837347	0 2 30 32 42 44 54 56 84 86	-266583923970
STPT(10)	2377424127928725947	0 2 30 32 42 44 54 56 84 86	272132964630
STPT(10)	2377424857085851091	0 2 36 38 78 80 120 122 156 158	1001290089774
SPT(16)	2377424986408481587	0 30 34 36 40 54 144 160 210 226 316 330 334 336 340 370	1130612720270
STPT(12)	2377425000525040439	0 2 30 32 72 74 78 80 120 122 150 152	1144729279122
SPT(16)	2377425016987212529	0 30 58 60 84 94 130 142 150 162 198 208 232 234 262 292	1161191451212