Prime p₀= 2396302951239515567 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: JonS
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2396301733466380589	0 48 78 90 104 114 122 128 174 180 188 198 212 224 254 302	-1217773134978
SPT(16)	2396302040726655167	0 30 32 36 56 60 120 144 152 176 236 240 260 264 266 296	-910512860400
STPT(10)	2396302350735921539	0 2 18 20 30 32 42 44 60 62	-600503594028
SPT(16)	2396302424328246617	0 2 32 50 60 80 102 120 122 140 162 182 192 210 240 242	-526911268950
SPT(16)	2396302639488945653	0 36 50 74 114 126 246 354 410 518 638 650 690 714 728 764	-311750569914
TPT(14)	2396302836789176039	0 2 102 104 132 134 138 140 168 170 240 242 258 260	-114450339528
SPT(16)	2396303694218077733	0 18 20 60 84 96 110 138 146 174 188 200 224 264 266 284	742978562166
TPT(14)	2396304116837309639	0 2 42 44 48 50 78 80 120 122 162 164 198 200	1165597794072
STPT(10)	2396304122685219947	0 2 30 32 72 74 114 116 144 146	1171445704380
SPT(20)	2396304930098334461	0 48 66 78 92 108 138 182 188 206 222 240 246 290 320 336 350 362 380 428	1978858818894
SPT(16)	2396305154255321567	0 14 20 24 90 110 126 140 156 170 186 206 272 276 282 296	2203015806000