Prime p₀= 1258137893250074201 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: HenkM
db: batch=77, k=10, 2 76 2 58 2

SPT(16)	1258136644683665759	0 12 18 42 138 140 150 200 210 260 270 272 368 392 398 410	-1248566408442
TPT(14)	1258136782453584569	0 2 180 182 222 224 228 230 252 254 258 260 312 314	-1110796489632
SPT(16)	1258136997771631333	0 16 48 58 88 108 114 118 126 130 136 156 186 196 228 244	-895478442868
STPT(10)	1258137449121921461	0 2 30 32 60 62 90 92 120 122	-444128152740
STPT(10)	1258137811334286401	0 2 30 32 78 80 126 128 156 158	-81915787800
SPT(16)	1258137892640191699	0 10 22 42 48 58 94 112 120 138 174 184 190 210 222 232	-609882502
STPT(10)	1258138005036076919	0 2 18 20 30 32 42 44 60 62	111786002718
SPT(16)	1258138045220977099	0 12 22 64 82 88 130 238 264 372 414 420 438 480 490 502	151970902898
SPT(16)	1258138706778076303	0 36 70 90 124 130 154 196 228 270 294 300 334 354 388 424	813528002102
STPT(10)	1258138886252689547	0 2 12 14 42 44 72 74 84 86	993002615346
SPT(16)	1258138909492860581	0 72 98 116 140 168 170 182 186 198 200 228 252 270 296 368	1016242786380