Prime p₀= 73757068805718209 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: emoga
db: batch=67, k=10, 2 16 2 10 2

SPT(14)	73756997879805041	0 48 60 72 102 120 180 218 278 296 326 338 350 398	-70925913168
SPT(14)	73757008323180979	0 40 58 60 70 82 84 88 90 102 112 114 132 172	-60482537230
SPT(14)	73757010257689933	0 18 30 40 76 84 88 96 100 108 144 154 166 184	-58548028276
SPT(14)	73757019779790091	0 10 28 66 78 108 166 180 238 268 280 318 336 346	-49025928118
SPT(20)	73757021589976493	0 38 86 98 168 170 194 200 216 224 240 248 264 270 294 296 366 378 426 464	-47215741716
SPT(14)	73757042556190177	0 6 42 126 144 150 172 174 196 202 220 304 340 346	-26249528032
SPT(14)	73757072211674459	0 2 32 72 84 90 102 152 164 170 182 222 252 254	3405956250
SPT(16)	73757086635963391	0 40 42 70 78 82 100 112 126 138 156 160 168 196 198 238	17830245182
SPT(14)	73757095652752003	0 4 6 16 100 108 118 126 136 144 228 238 240 244	26847033794
TPT(12)	73757109645015497	0 2 24 26 30 32 42 44 84 86 120 122	40839297288
SPT(14)	73757122245902203	0 6 36 78 114 124 136 138 150 160 196 238 268 274	53440183994