Prime p₀= 2367608270981046407 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

STPT(10)	2367607514417814671	0 2 36 38 78 80 120 122 156 158	-756563231736
STPT(10)	2367607539899126177	0 2 42 44 72 74 102 104 144 146	-731081920230
STPT(10)	2367607818507254429	0 2 78 80 120 122 162 164 240 242	-452473791978
SPT(16)	2367607946886276511	0 28 46 48 126 132 138 148 180 190 196 202 280 282 300 328	-324094769896
TPT(14)	2367607946895532457	0 2 30 32 84 86 132 134 180 182 240 242 294 296	-324085513950
STPT(10)	2367608117744938037	0 2 30 32 72 74 114 116 144 146	-153236108370
SPT(16)	2367608548590654337	0 22 36 42 52 96 124 154 192 222 250 294 304 310 324 346	277609607930
SPT(16)	2367608572838486489	0 14 78 110 134 158 162 168 194 200 204 228 252 284 348 362	301857440082
STPT(10)	2367608970655613099	0 2 18 20 30 32 42 44 60 62	699674566692
STPT(10)	2367609899809961237	0 2 54 56 72 74 90 92 144 146	1628828914830
SPT(16)	2367610112970240821	0 30 50 72 90 96 116 126 146 156 176 182 200 222 242 272	1841989194414