Prime p₀= 2706815002593008597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: JohnMD
db: batch=82, k=10, 2 88 2 40 2

SPT(16)	2706814286342340217	0 30 36 46 52 96 102 180 196 274 280 324 330 340 346 376	-716250668380
STPT(10)	2706814431239731409	0 2 42 44 60 62 78 80 120 122	-571353277188
SPT(16)	2706814538540240929	0 58 84 100 118 120 138 160 198 220 238 240 258 274 300 358	-464052767668
TPT(14)	2706814581965918561	0 2 18 20 60 62 198 200 210 212 228 230 306 308	-420627090036
SPT(13)	2706814808059783877	0 30 66 96 150 252 306 360 462 516 546 582 612	-194533224720
STPT(10)	2706814981513963121	0 2 6 8 48 50 90 92 96 98	-21079045476
STPT(10)	2706815233430731601	0 2 6 8 48 50 90 92 96 98	230837723004
SPT(16)	2706815757640614479	0 14 54 80 98 110 188 210 248 270 348 360 378 404 444 458	755047605882
SPT(16)	2706815975377998691	0 28 100 142 148 168 208 232 258 282 322 342 348 390 462 490	972784990094
SPT(16)	2706816392925833257	0 6 16 34 76 82 90 112 114 136 144 150 192 210 220 226	1390332824660
TPT(14)	2706816937860568397	0 2 12 14 54 56 144 146 174 176 252 254 282 284	1935267559800