Prime p₀= 1124915709141634721 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 70 2 70 2 34 2 (?)
a_n: 0 2 36 38 108 110 180 182 216 218
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: 218
Found by: Daniel
db: batch=76, k=10, 2 34 2 70 2

TPT(14)	1124914197409385489	0 2 12 14 42 44 72 74 150 152 162 164 348 350	-1511732249232
SPT(16)	1124914205260713859	0 18 28 94 118 132 220 222 250 252 340 354 378 444 454 472	-1503880920862
SPT(16)	1124914540770145309	0 22 30 60 84 90 130 142 162 174 214 220 244 274 282 304	-1168371489412
SPT(16)	1124914800629958671	0 12 20 32 42 56 60 86 102 128 132 146 156 168 176 188	-908511676050
TPT(14)	1124915484043710011	0 2 30 32 48 50 90 92 120 122 168 170 198 200	-225097924710
STPT(10)	1124915532941045927	0 2 54 56 72 74 90 92 144 146	-176200588794
STPT(10)	1124915747126551979	0 2 18 20 30 32 42 44 60 62	37984917258
TPT(14)	1124916191244409511	0 2 36 38 96 98 210 212 276 278 288 290 360 362	482102774790
SPT(18)	1124916297356689997	0 26 54 74 120 144 176 252 264 272 284 360 392 416 462 482 510 536	588215055276
SPT(16)	1124916516695469271	0 12 72 78 96 100 120 160 168 208 228 232 250 256 316 328	807553834550
STPT(10)	1124916604879886639	0 2 42 44 60 62 78 80 120 122	895738251918