Prime p₀= 726759536756962727 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: crashtech
db: batch=73, k=10, 2 10 2 58 2

STPT(10)	726758695573970999	0 2 42 44 60 62 78 80 120 122	-841182991728
STPT(10)	726758853339118511	0 2 6 8 18 20 30 32 36 38	-683417844216
SPT(16)	726758985791590123	0 28 40 88 114 124 138 154 180 196 210 220 246 294 306 334	-550965372604
STPT(10)	726759115832002739	0 2 12 14 90 92 168 170 180 182	-420924959988
TPT(14)	726759189690442091	0 2 66 68 108 110 138 140 150 152 240 242 330 332	-347066520636
SPT(16)	726759404906507927	0 14 44 104 146 152 182 192 194 204 234 240 282 342 372 386	-131850454800
SPT(16)	726759843183353531	0 18 26 38 48 62 68 110 138 180 186 200 210 222 230 248	306426390804
SPT(16)	726759923646700267	0 16 24 30 64 70 90 136 174 220 240 246 280 286 294 310	386889737540
STPT(10)	726760018054685777	0 2 30 32 42 44 54 56 84 86	481297723050
TPT(14)	726760179471538391	0 2 48 50 90 92 168 170 180 182 186 188 216 218	642714575664
SPT(16)	726760221756660079	0 28 52 94 132 172 174 178 234 238 240 280 318 360 384 412	684999697352