Prime p₀= 1078796652311788169 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Theadalus
db: batch=76, k=10, 2 10 2 76 2

SPT(16)	1078795981122014773	0 16 24 30 126 144 148 150 154 156 160 178 274 280 288 304	-671189773396
STPT(10)	1078796245330468079	0 2 48 50 60 62 72 74 120 122	-406981320090
SPT(16)	1078796262482368013	0 6 20 36 78 80 86 168 176 258 264 266 308 324 338 344	-389829420156
STPT(10)	1078796406271416977	0 2 42 44 72 74 102 104 144 146	-246040371192
TPT(14)	1078796411459717939	0 2 42 44 48 50 132 134 162 164 312 314 372 374	-240852070230
SPT(16)	1078796630736848521	0 10 12 18 28 42 70 72 136 138 166 180 190 196 198 208	-21574939648
STPT(10)	1078796836284091877	0 2 30 32 42 44 54 56 84 86	183972303708
STPT(10)	1078797042972119291	0 2 6 8 18 20 30 32 36 38	390660331122
STPT(10)	1078797303871617431	0 2 6 8 48 50 90 92 96 98	651559829262
SPT(16)	1078797476921351711	0 56 66 90 110 116 132 150 182 200 216 222 242 266 276 332	824609563542
SPT(16)	1078797636168046337	0 2 6 20 26 60 72 90 182 200 212 246 252 266 270 272	983856258168