Prime p₀= 1686097259829698657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: CoolAtchOk
db: batch=79, k=10, 2 28 2 10 2

SPT(16)	1686096320417707169	0 20 32 48 102 104 144 158 174 188 228 230 284 300 312 332	-939411991488
SPT(16)	1686096341399197363	0 28 70 94 114 220 240 268 270 298 318 424 444 468 510 538	-918430501294
STPT(10)	1686096344687342639	0 2 42 44 60 62 78 80 120 122	-915142356018
SPT(18)	1686096504146054459	0 12 30 50 90 98 110 114 128 144 158 162 174 182 222 242 260 272	-755683644198
STPT(10)	1686097037603946827	0 2 30 32 72 74 114 116 144 146	-222225751830
STPT(10)	1686097190405556557	0 2 30 32 72 74 114 116 144 146	-69424142100
STPT(10)	1686097499000035799	0 2 18 20 30 32 42 44 60 62	239170337142
SPT(16)	1686097877863090103	0 20 66 74 86 98 104 110 144 150 156 168 180 188 234 254	618033391446
STPT(10)	1686097897184150531	0 2 6 8 48 50 90 92 96 98	637354451874
STPT(10)	1686098816830516721	0 2 6 8 48 50 90 92 96 98	1557000818064
TPT(14)	1686098954217255167	0 2 42 44 132 134 144 146 252 254 270 272 282 284	1694387556510