Prime p₀= 3029395593043826129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 16 2

SPT(16)	3029394582481672793	0 14 24 44 90 110 114 128 150 164 168 188 234 254 264 278	-1010562153336
STPT(10)	3029394793018668629	0 2 42 44 60 62 78 80 120 122	-800025157500
TPT(14)	3029394938189678831	0 2 36 38 48 50 90 92 168 170 318 320 348 350	-654854147298
SPT(16)	3029394939099156323	0 38 50 56 80 104 108 126 128 146 150 174 198 204 216 254	-653944669806
SPT(16)	3029395006111511357	0 14 42 74 80 90 102 140 144 182 194 204 210 242 270 284	-586932314772
SPT(16)	3029395452279525803	0 8 84 96 116 134 138 188 216 266 270 288 308 320 396 404	-140764300326
SPT(16)	3029395683452243299	0 12 52 64 130 148 150 154 228 232 234 252 318 330 370 382	90408417170
TPT(14)	3029395716405197801	0 2 48 50 60 62 96 98 156 158 210 212 228 230	123361371672
STPT(10)	3029395948495740581	0 2 6 8 18 20 30 32 36 38	355451914452
TPT(14)	3029395996971189257	0 2 12 14 222 224 240 242 354 356 390 392 492 494	403927363128
STPT(10)	3029396454952892081	0 2 36 38 78 80 120 122 156 158	861909065952