Prime p₀= 1013310427146326117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: Skivelitis2
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1013309088654042413	0 6 18 24 80 116 128 150 164 186 198 234 290 296 308 314	-1338492283704
STPT(12)	1013309169009116699	0 2 18 20 42 44 168 170 192 194 210 212	-1258137209418
STPT(10)	1013309455929757079	0 2 42 44 60 62 78 80 120 122	-971216569038
SPT(16)	1013309898119206249	0 64 84 90 174 234 238 298 360 420 424 484 568 574 594 658	-529027119868
SPT(16)	1013309922011771161	0 10 16 42 46 52 96 112 126 142 186 192 196 222 228 238	-505134554956
STPT(10)	1013310274517230511	0 2 6 8 48 50 90 92 96 98	-152629095606
STPT(10)	1013310461092661759	0 2 18 20 30 32 42 44 60 62	33946335642
STPT(10)	1013310556573433351	0 2 36 38 78 80 120 122 156 158	129427107234
STPT(10)	1013310727874936597	0 2 12 14 42 44 72 74 84 86	300728610480
STPT(10)	1013311179216752201	0 2 36 38 78 80 120 122 156 158	752070426084
SPT(16)	1013311313300933807	0 20 24 30 42 84 102 114 182 194 212 254 266 272 276 296	886154607690