Prime p₀= 751680678813371537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: jozef j
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	751679671093657843	0 4 40 60 64 78 106 108 166 168 196 210 214 234 270 274	-1007719713694
SPT(16)	751680174469795079	0 18 54 60 68 84 90 92 150 152 158 174 182 188 224 242	-504343576458
SPT(16)	751680320472773831	0 6 18 20 62 80 110 116 222 228 258 276 318 320 332 338	-358340597706
SPT(16)	751680396407113049	0 8 18 32 42 60 114 128 174 188 242 260 270 284 294 302	-282406258488
STPT(10)	751680503275561721	0 2 36 38 78 80 120 122 156 158	-175537809816
SPT(16)	751680526265646977	0 20 24 30 84 104 150 156 374 380 426 446 500 506 510 530	-152547724560
TPT(14)	751680699064966421	0 2 78 80 186 188 216 218 246 248 258 260 288 290	20251594884
SPT(20)	751681194796989767	0 32 36 56 84 104 146 162 182 212 384 414 434 450 492 512 540 560 564 596	515983618230
SPT(16)	751681244066654651	0 26 72 78 96 110 128 140 198 210 228 242 260 266 312 338	565253283114
TPT(14)	751681471606852049	0 2 18 20 30 32 42 44 90 92 168 170 180 182	792793480512
STPT(10)	751681619836992347	0 2 24 26 42 44 60 62 84 86	941023620810