Prime p₀= 2037787074115636601 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=80, k=10, 2 4 2 10 2

STPT(10)	2037785874347745407	0 2 54 56 72 74 90 92 144 146	-1199767891194
STPT(10)	2037786079477011989	0 2 138 140 180 182 222 224 360 362	-994638624612
SPT(16)	2037786243703572161	0 18 20 78 98 108 116 120 128 132 140 150 170 228 230 248	-830412064440
STPT(10)	2037786829726232831	0 2 30 32 120 122 210 212 240 242	-244389403770
SPT(16)	2037786841580562557	0 14 20 60 84 86 144 182 234 272 330 332 356 396 402 416	-232535074044
SPT(18)	2037787049421905359	0 4 54 64 70 112 114 120 142 210 232 238 240 282 288 298 348 352	-24693731242
SPT(16)	2037787133267334409	0 4 22 72 78 94 100 130 132 162 168 184 190 240 258 262	59151697808
SPT(16)	2037787180290155633	0 80 86 180 224 248 260 264 290 294 306 330 374 468 474 554	106174519032
SPT(16)	2037787285514125987	0 4 90 106 144 156 190 196 204 210 244 256 294 310 396 400	211398489386
SPT(16)	2037787390161271187	0 6 20 62 116 176 186 206 270 290 300 360 414 456 470 476	316045634586
STPT(10)	2037787522877814941	0 2 36 38 78 80 120 122 156 158	448762178340