Prime p₀= 2612054507823049241 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 88 2 88 2 28 2 (?)
a_n: 0 2 30 32 120 122 210 212 240 242
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: 242
Found by: Conan
db: batch=82, k=10, 2 28 2 88 2

TPT(14)	2612053687929726917	0 2 60 62 90 92 132 134 162 164 204 206 240 242	-819893322324
STPT(10)	2612053706805097739	0 2 30 32 60 62 90 92 120 122	-801017951502
SPT(13)	2612053767108445559	0 12 42 60 72 102 120 138 168 180 198 228 240	-740714603682
STPT(10)	2612053907480556401	0 2 36 38 78 80 120 122 156 158	-600342492840
STPT(10)	2612054195334209411	0 2 36 38 78 80 120 122 156 158	-312488839830
STPT(10)	2612054443568252519	0 2 12 14 90 92 168 170 180 182	-64254796722
STPT(10)	2612054628794921249	0 2 18 20 60 62 102 104 120 122	120971872008
STPT(10)	2612054810036633417	0 2 30 32 42 44 54 56 84 86	302213584176
SPT(16)	2612055199900515869	0 8 62 78 90 108 110 132 170 192 194 212 224 240 294 302	692077466628
SPT(16)	2612055278227526093	0 44 74 128 240 266 284 348 386 450 468 494 606 660 690 734	770404476852
STPT(10)	2612055366518398847	0 2 54 56 72 74 90 92 144 146	858695349606