Prime p₀= 4400374335647786339 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: [SG]KidDoesCrunch
db: batch=85, k=10, 2 16 2 10 2

STPT(10)	4400372417338552409	0 2 18 20 30 32 42 44 60 62	-1918309233930
SPT(16)	4400372786721954491	0 8 18 42 50 102 126 138 140 152 176 228 236 260 270 278	-1548925831848
SPT(16)	4400372948141190169	0 84 100 114 118 132 142 162 190 210 220 234 238 252 268 352	-1387506596170
SPT(16)	4400373016473160819	0 78 82 88 112 144 192 264 388 460 508 540 564 570 574 652	-1319174625520
SPT(16)	4400374214525845739	0 2 14 42 68 72 74 84 128 138 140 144 170 198 210 212	-121121940600
STPT(10)	4400374333886824127	0 2 42 44 102 104 162 164 204 206	-1760962212
TPT(14)	4400374383782504339	0 2 18 20 42 44 60 62 78 80 102 104 120 122	48134718000
STPT(14)	4400374383782504339	0 2 18 20 42 44 60 62 78 80 102 104 120 122	48134718000
STPT(10)	4400374684717539557	0 2 30 32 42 44 54 56 84 86	349069753218
TPT(14)	4400375154956710931	0 2 66 68 138 140 150 152 180 182 240 242 306 308	819308924592
SPT(16)	4400375169008722837	0 72 82 90 96 120 124 154 162 192 196 220 226 234 244 316	833360936498