Prime p₀= 2034957683366691929 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2034956879479059451	0 10 12 58 70 108 112 130 138 156 160 198 210 256 258 268	-803887632478
SPT(16)	2034957048511853093	0 24 26 90 104 110 138 174 200 236 264 270 284 348 350 374	-634854838836
SPT(16)	2034957063119652697	0 4 12 82 130 156 186 210 256 280 310 336 384 454 462 466	-620247039232
STPT(12)	2034957273966783779	0 2 42 44 60 62 72 74 90 92 132 134	-409399908150
SPT(16)	2034957444978275267	0 6 50 86 92 102 116 150 182 216 230 240 246 282 326 332	-238388416662
STPT(10)	2034957560247883937	0 2 12 14 42 44 72 74 84 86	-123118807992
SPT(16)	2034957775642640713	0 54 78 96 100 106 144 190 204 250 288 294 298 316 340 394	92275948784
SPT(16)	2034957902738385263	0 18 78 116 140 146 168 170 174 176 198 204 228 266 326 344	219371693334
TPT(14)	2034958040131760531	0 2 30 32 126 128 138 140 186 188 258 260 300 302	356765068602
SPT(16)	2034958337967561887	0 14 66 74 116 150 180 194 222 236 266 300 342 350 402 416	654600869958
SPT(16)	2034958394869052617	0 6 16 24 40 42 46 90 136 180 184 186 202 210 220 226	711502360688