Prime p₀= 2625768867671306879 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2625766950782391343	0 6 64 76 88 120 130 154 180 204 214 246 258 270 328 334	-1916888915536
STPT(10)	2625767344419769601	0 2 6 8 18 20 30 32 36 38	-1523251537278
SPT(16)	2625767354439335863	0 4 30 66 78 96 100 154 180 234 238 256 268 304 330 334	-1513231971016
TPT(14)	2625767741362695119	0 2 12 14 108 110 150 152 168 170 222 224 240 242	-1126308611760
SPT(16)	2625768337816902763	0 36 60 88 118 130 148 150 196 198 216 228 258 286 310 346	-529854404116
STPT(10)	2625768502581123899	0 2 18 20 30 32 42 44 60 62	-365090182980
STPT(10)	2625769151987213987	0 2 30 32 42 44 54 56 84 86	284315907108
SPT(16)	2625769371545819927	0 24 32 60 72 74 110 116 120 126 162 164 176 204 212 236	503874513048
STPT(10)	2625769499831255387	0 2 30 32 42 44 54 56 84 86	632159948508
STPT(10)	2625769695059867561	0 2 6 8 18 20 30 32 36 38	827388560682
STPT(10)	2625769803080414621	0 2 96 98 138 140 180 182 276 278	935409107742