Prime p₀= 736705112624418029 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: Theadalus
db: batch=73, k=10, 2 76 2 40 2

SPT(16)	736702501683043781	0 6 18 78 86 90 140 156 200 216 266 270 278 338 350 356	-2610941374248
SPT(16)	736702806355903129	0 30 72 94 124 150 228 238 264 274 352 378 408 430 472 502	-2306268514900
STPT(10)	736703073359975957	0 2 42 44 72 74 102 104 144 146	-2039264442072
SPT(16)	736703497893632273	0 6 30 68 120 138 168 210 224 266 296 314 366 404 428 434	-1614730785756
TPT(14)	736703645813746991	0 2 48 50 78 80 90 92 120 122 156 158 186 188	-1466810671038
SPT(16)	736705013289989437	0 72 84 100 106 136 156 162 214 220 240 270 276 292 304 376	-99334428592
STPT(10)	736705387850343029	0 2 18 20 30 32 42 44 60 62	275225925000
SPT(16)	736705404454925813	0 26 50 74 84 98 138 164 180 206 246 260 270 294 318 344	291830507784
SPT(16)	736705906056990757	0 24 40 54 70 76 94 114 136 156 174 180 196 210 226 250	793432572728
STPT(10)	736706069640531227	0 2 30 32 42 44 54 56 84 86	957016113198
SPT(16)	736707140430321691	0 10 30 130 138 156 166 168 250 252 262 280 288 388 408 418	2027805903662