Prime p₀= 740676137023807421 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 40 2 40 2 64 2 (?)
a_n: 0 2 66 68 108 110 150 152 216 218
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: 218
Found by: Theadalus
db: batch=73, k=10, 2 64 2 40 2

SPT(16)	740674871699601481	0 10 40 66 76 96 180 196 222 238 322 342 352 378 408 418	-1265324205940
STPT(10)	740675172689557517	0 2 24 26 42 44 60 62 84 86	-964334249904
SPT(16)	740675190001831379	0 42 54 84 92 114 164 168 194 198 248 270 278 308 320 362	-947021976042
SPT(16)	740675228574102649	0 22 42 48 70 90 112 150 172 210 232 252 274 280 300 322	-908449704772
STPT(10)	740676060928868891	0 2 30 32 78 80 126 128 156 158	-76094938530
STPT(12)	740676111941091239	0 2 18 20 60 62 180 182 222 224 240 242	-25082716182
SPT(16)	740677157710078951	0 6 60 70 108 120 136 148 318 330 346 358 396 406 460 466	1020686271530
STPT(10)	740677189154167007	0 2 12 14 42 44 72 74 84 86	1052130359586
SPT(16)	740677242758839709	0 24 30 42 98 122 134 138 224 228 240 264 320 332 338 362	1105735032288
STPT(10)	740677457033860529	0 2 42 44 120 122 198 200 240 242	1320010053108
SPT(16)	740677727043511273	0 46 58 60 106 108 120 126 130 136 148 150 196 198 210 256	1590019703852