Prime p₀= 2340300999517699637 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2340300007692221681	0 36 38 56 66 72 108 122 126 140 176 182 192 210 212 248	-991825477956
SPT(16)	2340300151302361349	0 2 12 72 110 122 138 150 182 194 210 222 260 320 330 332	-848215338288
STPT(10)	2340300158220022091	0 2 30 32 60 62 90 92 120 122	-841297677546
STPT(12)	2340300490746057641	0 2 18 20 156 158 240 242 378 380 396 398	-508771641996
STPT(10)	2340300526111323869	0 2 18 20 30 32 42 44 60 62	-473406375768
SPT(16)	2340300789615298511	0 8 26 50 56 72 92 110 138 156 176 192 198 222 240 248	-209902401126
SPT(16)	2340301002573023383	0 36 70 90 130 144 148 154 180 186 190 204 244 264 298 334	3055323746
SPT(16)	2340301135261767941	0 6 26 32 50 72 86 126 146 186 200 222 240 246 266 272	135744068304
STPT(10)	2340301585122215567	0 2 30 32 72 74 114 116 144 146	585604515930
STPT(10)	2340301939560863867	0 2 30 32 42 44 54 56 84 86	940043164230
STPT(10)	2340302391991105439	0 2 42 44 60 62 78 80 120 122	1392473405802