Prime p₀= 1078810702856316107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: suriv
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1078809980443848227	0 32 42 54 60 122 144 150 194 200 222 284 290 302 312 344	-722412467880
SPT(16)	1078810277665681621	0 22 30 36 46 60 100 106 162 168 208 222 232 238 246 268	-425190634486
STPT(10)	1078810408605340391	0 2 36 38 78 80 120 122 156 158	-294250975716
SPT(16)	1078810523528172481	0 12 16 22 36 70 78 112 126 160 168 202 216 222 226 238	-179328143626
SPT(16)	1078810549192433119	0 10 18 28 52 58 72 102 208 238 252 258 282 292 300 310	-153663882988
SPT(16)	1078810618203787613	0 8 30 36 44 78 110 126 188 204 236 270 278 284 306 314	-84652528494
SPT(16)	1078810879880620459	0 60 112 114 118 124 132 172 210 250 258 264 268 270 322 382	177024304352
STPT(10)	1078810883862522617	0 2 42 44 72 74 102 104 144 146	181006206510
STPT(10)	1078811056430221757	0 2 30 32 42 44 54 56 84 86	353573905650
SPT(16)	1078811159566245661	0 30 48 52 72 78 100 108 160 168 190 196 216 220 238 268	456709929554
STPT(10)	1078811210279329061	0 2 6 8 108 110 210 212 216 218	507423012954