Prime p₀= 1263529715098633859 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Megacruncher
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1263528694505936701	0 10 40 52 66 82 96 100 108 112 126 142 156 168 198 208	-1020592697158
SPT(16)	1263528731520313057	0 70 112 120 202 210 246 276 286 316 352 360 442 450 492 562	-983578320802
SPT(16)	1263529059797245639	0 48 54 58 100 138 154 184 234 264 280 318 360 364 370 418	-655301388220
STPT(10)	1263529087968194207	0 2 30 32 42 44 54 56 84 86	-627130439652
SPT(16)	1263529393965625079	0 20 24 42 54 72 90 104 150 164 182 200 212 230 234 254	-321133008780
SPT(16)	1263529643731880929	0 4 18 22 42 60 120 144 148 172 232 250 270 274 288 292	-71366752930
STPT(10)	1263529724671700609	0 2 12 14 30 32 48 50 60 62	9573066750
SPT(16)	1263529740198471797	0 2 6 30 44 56 84 102 104 122 150 162 176 200 204 206	25099837938
STPT(10)	1263529881324751499	0 2 18 20 30 32 42 44 60 62	166226117640
STPT(10)	1263530078416433039	0 2 42 44 60 62 78 80 120 122	363317799180
SPT(16)	1263530253135877729	0 52 60 70 90 132 142 144 268 270 280 322 342 352 360 412	538037243870