Prime p₀= 1285977653329260251 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: Cruncher Pete
db: batch=77, k=10, 2 4 2 40 2

STPT(10)	1285977237108322019	0 2 48 50 60 62 72 74 120 122	-416220938232
SPT(16)	1285977241350367619	0 18 42 48 132 144 174 180 182 188 218 230 314 320 344 362	-411978892632
SPT(16)	1285977262606466317	0 24 30 40 70 72 76 84 142 150 154 156 186 196 202 226	-390722793934
STPT(10)	1285977434233284941	0 2 36 38 78 80 120 122 156 158	-219095975310
SPT(16)	1285977444677248909	0 4 82 112 180 232 238 312 340 414 420 472 540 570 648 652	-208652011342
STPT(10)	1285977611532206729	0 2 48 50 90 92 132 134 180 182	-41797053522
STPT(10)	1285977998691079781	0 2 6 8 48 50 90 92 96 98	345361819530
STPT(10)	1285978007281152347	0 2 30 32 42 44 54 56 84 86	353951892096
SPT(16)	1285978018997629967	0 20 86 102 104 120 132 176 240 284 296 312 314 330 396 416	365668369716
TPT(14)	1285978116912649211	0 2 6 8 18 20 60 62 198 200 210 212 270 272	463583388960
SPT(13)	1285978162438577681	0 12 42 90 108 132 150 168 192 210 258 288 300	509109317430