Prime p₀= 2345748136485519971 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: JonS
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2345746705579193417	0 2 12 14 72 74 132 134 144 146	-1430906326554
STPT(10)	2345746768904830397	0 2 30 32 42 44 54 56 84 86	-1367580689574
TPT(14)	2345746886431555601	0 2 78 80 96 98 156 158 168 170 288 290 306 308	-1250053964370
SPT(16)	2345747411921330789	0 38 50 72 78 138 152 168 194 210 224 284 290 312 324 362	-724564189182
STPT(10)	2345747517018753389	0 2 12 14 90 92 168 170 180 182	-619466766582
SPT(16)	2345747935653891163	0 6 36 40 48 70 96 108 136 148 174 196 204 208 238 244	-200831628808
STPT(10)	2345748313715245589	0 2 42 44 150 152 258 260 300 302	177229725618
STPT(10)	2345748443842592597	0 2 12 14 42 44 72 74 84 86	307357072626
SPT(16)	2345748504719862059	0 32 44 90 104 108 114 132 140 158 164 168 182 228 240 272	368234342088
STPT(10)	2345748918562998407	0 2 30 32 42 44 54 56 84 86	782077478436
SPT(18)	2345749008279323431	0 28 52 58 82 100 142 148 178 210 240 246 288 306 330 336 360 388	871793803460