Prime p₀= 2037236015558900381 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Landjunge
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2037234310009279477	0 6 22 40 54 64 82 130 336 384 402 412 426 444 460 466	-1705549620904
SPT(16)	2037235210943439967	0 84 150 166 174 186 214 252 304 342 370 382 390 406 472 556	-804615460414
SPT(16)	2037235427487300217	0 24 42 52 160 172 192 210 244 262 282 294 402 412 430 454	-588071600164
SPT(16)	2037235792065419653	0 16 66 78 94 108 114 144 190 220 226 240 256 268 318 334	-223493480728
SPT(16)	2037235871264131007	0 2 30 84 92 110 122 134 270 282 294 312 320 374 402 404	-144294769374
SPT(16)	2037235878479501377	0 6 12 42 72 100 124 126 130 132 156 184 214 244 250 256	-137079399004
STPT(10)	2037236085326226131	0 2 6 8 48 50 90 92 96 98	69767325750
SPT(16)	2037236254087885507	0 4 10 24 30 70 72 100 126 154 156 196 202 216 222 226	238528985126
TPT(14)	2037236589370038029	0 2 42 44 78 80 120 122 150 152 198 200 252 254	573811137648
SPT(16)	2037236677951932983	0 56 60 110 140 164 168 180 224 236 240 264 294 344 348 404	662393032602
SPT(20)	2037236680348439981	0 26 32 36 60 66 78 92 138 158 210 230 276 290 302 308 332 336 342 368	664789539600