Prime p₀= 2612054443568252519 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Conan
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2612053615705730621	0 38 62 110 150 168 192 200 210 218 242 260 300 348 372 410	-827862521898
TPT(14)	2612053687929726917	0 2 60 62 90 92 132 134 162 164 204 206 240 242	-755638525602
STPT(10)	2612053706805097739	0 2 30 32 60 62 90 92 120 122	-736763154780
SPT(13)	2612053767108445559	0 12 42 60 72 102 120 138 168 180 198 228 240	-676459806960
STPT(10)	2612053907480556401	0 2 36 38 78 80 120 122 156 158	-536087696118
STPT(10)	2612054195334209411	0 2 36 38 78 80 120 122 156 158	-248234043108
STPT(10)	2612054507823049241	0 2 30 32 120 122 210 212 240 242	64254796722
STPT(10)	2612054628794921249	0 2 18 20 60 62 102 104 120 122	185226668730
STPT(10)	2612054810036633417	0 2 30 32 42 44 54 56 84 86	366468380898
SPT(16)	2612055199900515869	0 8 62 78 90 108 110 132 170 192 194 212 224 240 294 302	756332263350
SPT(16)	2612055278227526093	0 44 74 128 240 266 284 348 386 450 468 494 606 660 690 734	834659273574