Prime p₀= 1144210465823328599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: Theadalus
db: batch=76, k=10, 2 46 2 40 2

STPT(10)	1144209198263536577	0 2 12 14 42 44 72 74 84 86	-1267559792022
SPT(16)	1144209272585150507	0 32 54 72 80 102 110 116 150 156 164 186 194 212 234 266	-1193238178092
STPT(10)	1144209493988516741	0 2 30 32 78 80 126 128 156 158	-971834811858
STPT(10)	1144209974537616977	0 2 12 14 72 74 132 134 144 146	-491285711622
SPT(16)	1144210074234054253	0 4 28 118 138 144 184 196 228 240 280 286 306 396 420 424	-391589274346
SPT(16)	1144210117577901553	0 6 34 54 58 64 70 90 154 174 180 186 190 210 238 244	-348245427046
SPT(16)	1144210881666602261	0 50 66 102 122 140 180 218 270 308 348 366 386 422 438 488	415843273662
TPT(14)	1144211216561396981	0 2 18 20 48 50 60 62 126 128 138 140 156 158	750738068382
TPT(14)	1144211344160135387	0 2 42 44 90 92 162 164 180 182 204 206 210 212	878336806788
TPT(14)	1144211399621961719	0 2 42 44 168 170 180 182 222 224 318 320 450 452	933798633120
SPT(16)	1144211644150409119	0 10 18 60 70 82 108 112 150 154 180 192 202 244 252 262	1178327080520