Prime p₀= 2563206291642838781 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 52 2 28 2 64 2 10 2 16 2 (?)
a_n: 0 2 36 38 90 92 120 122 186 188 198 200 216 218
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 218
Found by: RFGuy_KCCO
db: batch=82, k=14, 34 52 28 64 10 16

SPT(16)	2563204993615265761	0 46 60 72 76 90 100 132 136 168 178 192 196 208 222 268	-1298027573020
STPT(10)	2563205002757598341	0 2 6 8 18 20 30 32 36 38	-1288885240440
SPT(16)	2563205059219622171	0 48 56 102 146 156 158 168 200 210 212 222 266 312 320 368	-1232423216610
STPT(10)	2563205658984310589	0 2 18 20 30 32 42 44 60 62	-632658528192
STPT(10)	2563205695666462877	0 2 30 32 60 62 90 92 120 122	-595976375904
SPT(16)	2563206136413257891	0 2 12 30 36 56 66 80 138 152 162 182 188 206 216 218	-155229580890
SPT(16)	2563206834086742691	0 12 40 66 72 100 112 126 136 150 162 190 196 222 250 262	542443903910
SPT(16)	2563207311216945697	0 10 12 22 24 54 90 132 154 196 232 262 264 274 276 286	1019574106916
TPT(14)	2563207350877786829	0 2 60 62 72 74 138 140 168 170 210 212 282 284	1059234948048
SPT(16)	2563207560533876237	0 80 114 164 182 216 252 276 290 314 350 384 402 452 486 566	1268891037456
SPT(16)	2563207571847564203	0 20 48 50 74 80 90 108 116 134 144 150 174 176 204 224	1280204725422