Prime p₀= 2582161459630063697 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2582160805864642577	0 14 24 50 72 92 102 116 120 134 144 164 186 212 222 236	-653765421120
STPT(10)	2582160908881765817	0 2 60 62 72 74 84 86 144 146	-550748297880
STPT(12)	2582161063269450119	0 2 30 32 42 44 78 80 90 92 120 122	-396360613578
SPT(16)	2582161113304948283	0 6 66 78 80 84 104 114 140 150 170 174 176 188 248 254	-346325115414
TPT(14)	2582161259395420319	0 2 12 14 42 44 78 80 180 182 210 212 240 242	-200234643378
STPT(10)	2582161364309050619	0 2 18 20 30 32 42 44 60 62	-95321013078
STPT(10)	2582161849423160957	0 2 30 32 42 44 54 56 84 86	389793097260
SPT(16)	2582162009526465227	0 12 30 44 54 72 96 114 122 140 164 182 192 206 224 236	549896401530
STPT(10)	2582162038927152467	0 2 30 32 60 62 90 92 120 122	579297088770
STPT(12)	2582162123219656427	0 2 60 62 72 74 90 92 102 104 162 164	663589592730
SPT(16)	2582162302309741043	0 18 60 96 98 128 168 194 300 326 366 396 398 434 476 494	842679677346