Prime p₀= 1320424566780248729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: 122
Found by: BlackGoose05
db: batch=77, k=10, 2 46 2 10 2

TPT(14)	1320423917461951217	0 2 102 104 180 182 192 194 240 242 282 284 312 314	-649318297512
TPT(14)	1320424077773388941	0 2 6 8 66 68 78 80 90 92 138 140 150 152	-489006859788
SPT(16)	1320424141253937887	0 14 26 32 84 102 126 146 150 170 194 212 264 270 282 296	-425526310842
SPT(20)	1320424268247875969	0 14 24 48 54 72 80 92 114 140 162 188 210 222 230 248 254 278 288 302	-298532372760
SPT(16)	1320424447001846003	0 6 38 48 56 80 86 90 224 228 234 258 266 276 308 314	-119778402726
STPT(10)	1320424455207597587	0 2 12 14 42 44 72 74 84 86	-111572651142
SPT(16)	1320424688930527711	0 42 46 70 76 88 102 112 156 166 180 192 198 222 226 268	122150278982
STPT(10)	1320424748665529807	0 2 24 26 42 44 60 62 84 86	181885281078
SPT(16)	1320424784895771001	0 28 42 88 90 100 102 160 168 226 228 238 240 286 300 328	218115522272
SPT(18)	1320424945194610313	0 6 14 38 120 170 188 198 234 350 386 396 414 464 546 570 578 584	378414361584
SPT(16)	1320425008992438071	0 20 72 78 86 90 92 116 132 156 158 162 170 176 228 248	442212189342