Prime p₀= 1115224389970100321 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: crashtech
db: batch=76, k=10, 2 4 2 10 2

STPT(10)	1115223026915733311	0 2 36 38 78 80 120 122 156 158	-1363054367010
STPT(10)	1115223151172950151	0 2 96 98 138 140 180 182 276 278	-1238797150170
SPT(16)	1115223334975985309	0 8 44 54 120 138 170 194 198 222 254 272 338 348 384 392	-1054994115012
SPT(16)	1115223452069512259	0 8 18 50 60 102 152 158 294 300 350 392 402 434 444 452	-937900588062
STPT(10)	1115224279009486169	0 2 18 20 30 32 42 44 60 62	-110960614152
SPT(16)	1115224327925424889	0 12 22 42 58 102 138 162 190 214 250 294 310 330 340 352	-62044675432
SPT(20)	1115224916960833859	0 32 38 42 60 74 98 104 108 110 222 224 228 234 258 272 290 294 300 332	526990733538
SPT(16)	1115225378872616897	0 2 6 30 32 56 90 186 200 296 330 354 356 380 384 386	988902516576
STPT(10)	1115225393254469009	0 2 42 44 60 62 78 80 120 122	1003284368688
SPT(16)	1115225754059297081	0 60 66 80 90 102 132 182 186 236 266 278 288 302 308 368	1364089196760
STPT(10)	1115225843451994289	0 2 78 80 120 122 162 164 240 242	1453481893968