Prime p₀= 2303014965556247771 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Ben
db: batch=81, k=10, 2 4 2 40 2

SPT(16)	2303013690343495991	0 36 38 42 50 92 102 116 162 176 186 228 236 240 242 278	-1275212751780
STPT(10)	2303014020709109297	0 2 42 44 72 74 102 104 144 146	-944847138474
SPT(16)	2303014061943272369	0 2 24 48 84 104 110 164 198 252 258 278 314 338 360 362	-903612975402
STPT(10)	2303014280906415281	0 2 6 8 18 20 30 32 36 38	-684649832490
SPT(16)	2303014283069310017	0 30 50 60 62 72 120 140 162 182 230 240 242 252 272 302	-682486937754
SPT(16)	2303014658636022197	0 60 72 126 152 312 336 356 360 380 404 564 590 644 656 716	-306920225574
STPT(10)	2303015041457985707	0 2 30 32 72 74 114 116 144 146	75901737936
STPT(10)	2303015419473480461	0 2 36 38 78 80 120 122 156 158	453917232690
TPT(14)	2303015828575469087	0 2 42 44 84 86 90 92 132 134 192 194 252 254	863019221316
STPT(10)	2303016077057198927	0 2 54 56 72 74 90 92 144 146	1111500951156
STPT(10)	2303016184031893397	0 2 12 14 72 74 132 134 144 146	1218475645626