Prime p₀= 1124990636561771891 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: crashtech
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1124990293660121249	0 12 14 18 92 132 144 174 188 218 230 270 344 348 350 362	-342901650642
STPT(10)	1124990337740717099	0 2 42 44 120 122 198 200 240 242	-298821054792
SPT(16)	1124990393607178499	0 14 38 48 78 90 98 104 108 114 122 134 164 174 198 212	-242954593392
SPT(16)	1124990466597275041	0 30 36 78 106 108 112 136 162 186 190 192 220 262 268 298	-169964496850
SPT(16)	1124990511303411391	0 30 42 52 58 88 90 108 112 130 132 162 168 178 190 220	-125258360500
STPT(10)	1124990514490597121	0 2 6 8 48 50 90 92 96 98	-122071174770
SPT(16)	1124990871166495213	0 30 34 60 70 114 178 180 298 300 364 408 418 444 448 478	234604723322
STPT(10)	1124990905268964047	0 2 30 32 42 44 54 56 84 86	268707192156
STPT(10)	1124991034985497607	0 2 12 14 72 74 132 134 144 146	398423725716
STPT(10)	1124991132819850529	0 2 48 50 60 62 72 74 120 122	496258078638
SPT(16)	1124991571029539743	0 34 40 48 60 70 118 124 180 186 234 244 256 264 270 304	934467767852