Prime p₀= 2538265543726205351 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Rantanplan
db: batch=82, k=10, 2 34 2 40 2

STPT(10)	2538263876678308937	0 2 54 56 72 74 90 92 144 146	-1667047896414
SPT(16)	2538264095112849091	0 70 106 108 118 126 162 192 196 226 262 270 280 282 318 388	-1448613356260
STPT(10)	2538264676812671039	0 2 48 50 60 62 72 74 120 122	-866913534312
SPT(16)	2538264971535076051	0 10 48 112 142 156 178 192 196 210 232 246 276 340 378 388	-572191129300
STPT(10)	2538265385609636231	0 2 6 8 48 50 90 92 96 98	-158116569120
STPT(10)	2538265499347487051	0 2 6 8 18 20 30 32 36 38	-44378718300
SPT(16)	2538265699392836641	0 40 46 70 96 100 112 118 180 186 198 202 228 252 258 298	155666631290
SPT(16)	2538265748205645947	0 14 32 60 62 102 114 146 180 212 224 264 266 294 312 326	204479440596
SPT(16)	2538266065890473059	0 12 40 42 72 78 88 100 192 204 214 220 250 252 280 292	522164267708
STPT(10)	2538266592189902921	0 2 6 8 48 50 90 92 96 98	1048463697570
STPT(10)	2538267427242376787	0 2 12 14 42 44 72 74 84 86	1883516171436