Prime p₀= 4387431781887825659 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: [SG]KidDoesCrunch
db: batch=85, k=10, 2 16 2 10 2

TPT(14)	4387429628091172589	0 2 78 80 132 134 192 194 372 374 378 380 498 500	-2153796653070
SPT(16)	4387430304304067291	0 36 42 60 62 96 108 162 206 260 272 306 308 326 332 368	-1477583758368
STPT(10)	4387430434229573741	0 2 6 8 48 50 90 92 96 98	-1347658251918
SPT(16)	4387430760098934817	0 10 66 70 90 114 142 154 282 294 322 346 366 370 426 436	-1021788890842
SPT(16)	4387431093006193667	0 14 26 50 54 84 96 110 186 200 212 242 246 270 282 296	-688881631992
TPT(14)	4387431178746572711	0 2 60 62 126 128 150 152 198 200 210 212 240 242	-603141252948
SPT(16)	4387432035420131389	0 4 30 42 54 102 118 124 258 264 280 328 340 352 378 382	253532305730
SPT(16)	4387432257998258059	0 24 34 90 108 132 142 148 204 210 220 244 262 318 328 352	476110432400
STPT(10)	4387432285637323577	0 2 30 32 72 74 114 116 144 146	503749497918
STPT(10)	4387432710975172679	0 2 72 74 120 122 168 170 240 242	929087347020
STPT(10)	4387432737237904169	0 2 12 14 30 32 48 50 60 62	955350078510