Prime p₀= 1035566205555356999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Theadalus
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1035564556585795199	0 78 80 132 138 182 192 194 468 470 480 524 530 582 584 662	-1648969561800
STPT(10)	1035564938954166977	0 2 30 32 72 74 114 116 144 146	-1266601190022
SPT(16)	1035564961925874241	0 12 42 52 58 78 108 112 318 322 352 372 378 388 418 430	-1243629482758
TPT(14)	1035565028688249539	0 2 18 20 72 74 132 134 198 200 210 212 240 242	-1176867107460
STPT(10)	1035565227418523909	0 2 42 44 120 122 198 200 240 242	-978136833090
SPT(16)	1035565582395018289	0 4 18 24 28 40 52 60 82 90 102 114 118 124 138 142	-623160338710
SPT(16)	1035566222930420809	0 4 34 42 70 112 132 144 148 160 180 222 250 258 288 292	17375063810
STPT(10)	1035566325169685339	0 2 18 20 30 32 42 44 60 62	119614328340
TPT(14)	1035566650900966937	0 2 30 32 42 44 60 62 102 104 132 134 240 242	445345609938
SPT(16)	1035566798561702893	0 90 94 96 106 114 118 120 154 156 160 168 178 180 184 274	593006345894
STPT(10)	1035567003898817441	0 2 6 8 18 20 30 32 36 38	798343460442