Prime p₀= 2045660334383278967 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 52 2 16 2

SPT(16)	2045657543257450013	0 24 30 36 56 104 108 146 198 236 240 288 308 314 320 344	-2791125828954
STPT(10)	2045658432507137867	0 2 12 14 42 44 72 74 84 86	-1901876141100
SPT(16)	2045658681205006883	0 26 30 80 96 98 116 164 240 288 306 308 324 374 378 404	-1653178272084
SPT(16)	2045659287864824239	0 10 84 88 108 112 130 144 208 222 240 244 264 268 342 352	-1046518454728
STPT(10)	2045659739025926501	0 2 30 32 78 80 126 128 156 158	-595357352466
SPT(16)	2045660015930493269	0 20 68 108 110 132 138 140 150 152 158 180 182 222 270 290	-318452785698
STPT(10)	2045660430108049121	0 2 6 8 48 50 90 92 96 98	95724770154
STPT(10)	2045660966049095741	0 2 90 92 108 110 126 128 216 218	631665816774
SPT(16)	2045661455132849929	0 4 12 40 42 48 78 100 102 124 154 160 162 190 198 202	1120749570962
STPT(10)	2045661475448411279	0 2 42 44 90 92 138 140 180 182	1141065132312
SPT(16)	2045661749335307507	0 20 60 62 96 122 126 140 186 200 204 230 264 266 306 326	1414952028540