Prime p₀= 2356637271612645779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [AF>Amis des Lapins] Fredjke
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2356635796597579933	0 36 60 106 120 148 174 178 186 190 216 244 258 304 328 364	-1475015065846
SPT(16)	2356636018969785169	0 28 40 88 102 130 148 162 190 204 222 250 264 312 324 352	-1252642860610
STPT(10)	2356636649832309797	0 2 30 32 42 44 54 56 84 86	-621780335982
SPT(16)	2356636685259168563	0 44 56 86 108 116 144 150 164 170 198 206 228 258 270 314	-586353477216
SPT(16)	2356636766984931517	0 4 6 10 16 22 30 60 76 106 114 120 126 130 132 136	-504627714262
SPT(16)	2356637077379739839	0 102 152 158 188 192 194 224 318 348 350 354 384 390 440 542	-194232905940
SPT(16)	2356637438377842383	0 26 44 96 126 134 144 200 264 320 330 338 368 420 438 464	166765196604
STPT(10)	2356637469372333221	0 2 6 8 48 50 90 92 96 98	197759687442
STPT(10)	2356637487828231689	0 2 48 50 90 92 132 134 180 182	216215585910
SPT(16)	2356637492702117659	0 24 34 40 72 84 112 124 210 222 250 262 294 300 310 334	221089471880
STPT(10)	2356637941626241709	0 2 42 44 60 62 78 80 120 122	670013595930