Prime p₀= 2199241716467034257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Ben
db: batch=81, k=10, 2 40 2 28 2

STPT(10)	2199240314449296917	0 2 30 32 42 44 54 56 84 86	-1402017737340
STPT(10)	2199240510283618517	0 2 42 44 72 74 102 104 144 146	-1206183415740
TPT(14)	2199240929047612367	0 2 12 14 30 32 150 152 210 212 222 224 234 236	-787419421890
SPT(16)	2199241179143599681	0 6 30 48 52 70 76 96 112 132 138 156 160 178 202 208	-537323434576
SPT(16)	2199241210750625213	0 8 14 90 104 134 144 146 198 200 210 240 254 330 336 344	-505716409044
STPT(10)	2199241303341502331	0 2 6 8 18 20 30 32 36 38	-413125531926
SPT(16)	2199242354296024649	0 8 78 98 138 164 170 234 278 342 348 374 414 434 504 512	637828990392
SPT(16)	2199242560277638849	0 24 54 58 78 94 100 120 142 162 168 184 204 208 238 262	843810604592
STPT(10)	2199242599220188409	0 2 18 20 30 32 42 44 60 62	882753154152
SPT(16)	2199242648924685709	0 48 72 90 142 160 198 210 262 274 312 330 382 400 424 472	932457651452
STPT(10)	2199242991824085131	0 2 36 38 138 140 240 242 276 278	1275357050874