Prime p₀= 2301718915137037601 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: arkiss
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2301716586419688007	0 16 30 100 114 120 142 154 162 174 196 202 216 286 300 316	-2328717349594
STPT(10)	2301716766223543301	0 2 6 8 48 50 90 92 96 98	-2148913494300
SPT(16)	2301716944688359031	0 18 36 38 42 78 120 152 276 308 350 386 390 392 410 428	-1970448678570
STPT(10)	2301717495333931067	0 2 30 32 42 44 54 56 84 86	-1419803106534
TPT(14)	2301718521569729147	0 2 12 14 30 32 42 44 72 74 90 92 174 176	-393567308454
SPT(16)	2301718740138792577	0 22 54 100 124 162 180 232 282 334 352 390 414 460 492 514	-174998245024
STPT(10)	2301719380684742111	0 2 36 38 78 80 120 122 156 158	465547704510
SPT(16)	2301719408760068467	0 66 84 102 106 136 162 214 252 304 330 360 364 382 400 466	493623030866
SPT(16)	2301719472586442981	0 48 102 122 128 146 176 216 242 282 312 330 336 356 410 458	557449405380
SPT(16)	2301719597427665477	0 14 32 62 96 122 126 144 152 170 174 200 234 264 282 296	682290627876
STPT(10)	2301719653185532379	0 2 48 50 60 62 72 74 120 122	738048494778