Prime p₀= 2412131122208126489 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: [SG-FC] hl
db: batch=82, k=10, 2 76 2 40 2

SPT(16)	2412129970037502853	0 4 64 66 78 94 120 124 150 154 180 196 208 210 270 274	-1152170623636
SPT(16)	2412130094740216661	0 12 42 48 72 116 128 152 186 210 222 266 290 296 326 338	-1027467909828
SPT(16)	2412130346802768169	0 22 70 84 90 100 114 130 144 160 174 184 190 204 252 274	-775405358320
SPT(16)	2412130516589182453	0 30 106 166 168 180 198 208 228 238 256 268 270 330 406 436	-605618944036
SPT(18)	2412130787928804469	0 10 24 64 70 102 108 112 114 148 150 154 160 192 198 238 252 262	-334279322020
SPT(16)	2412131084490551311	0 28 40 60 70 72 76 82 186 192 196 198 208 228 240 268	-37717575178
SPT(16)	2412131573171264459	0 20 54 62 92 98 132 180 182 230 264 270 300 308 342 362	450963137970
STPT(10)	2412131761946339759	0 2 18 20 30 32 42 44 60 62	639738213270
SPT(16)	2412131997267230089	0 4 10 60 82 88 102 108 124 130 144 150 172 222 228 232	875059103600
SPT(16)	2412132044238372739	0 12 34 54 82 90 100 118 174 192 202 210 238 258 280 292	922030246250
STPT(10)	2412132090735718781	0 2 66 68 138 140 210 212 276 278	968527592292