Prime p₀= 1124990905268964047 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: crashtech
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1124990393607178499	0 14 38 48 78 90 98 104 108 114 122 134 164 174 198 212	-511661785548
SPT(16)	1124990466597275041	0 30 36 78 106 108 112 136 162 186 190 192 220 262 268 298	-438671689006
SPT(16)	1124990511303411391	0 30 42 52 58 88 90 108 112 130 132 162 168 178 190 220	-393965552656
STPT(10)	1124990514490597121	0 2 6 8 48 50 90 92 96 98	-390778366926
STPT(10)	1124990636561771891	0 2 6 8 18 20 30 32 36 38	-268707192156
SPT(16)	1124990871166495213	0 30 34 60 70 114 178 180 298 300 364 408 418 444 448 478	-34102468834
STPT(10)	1124991034985497607	0 2 12 14 72 74 132 134 144 146	129716533560
STPT(10)	1124991132819850529	0 2 48 50 60 62 72 74 120 122	227550886482
SPT(16)	1124991571029539743	0 34 40 48 60 70 118 124 180 186 234 244 256 264 270 304	665760575696
SPT(16)	1124991886685439029	0 14 90 102 132 182 200 210 242 252 270 320 350 362 438 452	981416474982
STPT(10)	1124992856272651547	0 2 24 26 42 44 60 62 84 86	1951003687500