Prime p₀= 1459864451445742019 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=78, k=10, 2 16 2 10 2

SPT(16)	1459863587741741911	0 58 102 106 150 178 252 282 436 466 540 568 612 616 660 718	-863704000108
TPT(14)	1459863766915990517	0 2 12 14 132 134 144 146 174 176 210 212 222 224	-684529751502
SPT(16)	1459863907591782461	0 38 66 86 108 116 138 140 168 170 192 200 222 242 270 308	-543853959558
STPT(10)	1459864164292504379	0 2 12 14 90 92 168 170 180 182	-287153237640
STPT(10)	1459864270298648867	0 2 72 74 102 104 132 134 204 206	-181147093152
SPT(16)	1459864422376824577	0 12 54 84 114 126 142 150 196 204 220 232 262 292 334 346	-29068917442
TPT(14)	1459864490970870989	0 2 12 14 138 140 168 170 180 182 198 200 240 242	39525128970
STPT(10)	1459864654834692311	0 2 6 8 18 20 30 32 36 38	203388950292
SPT(16)	1459864746809740291	0 16 18 42 52 60 82 118 150 186 208 216 226 250 252 268	295363998272
SPT(16)	1459864865490262009	0 22 28 34 70 78 114 120 142 148 184 192 228 234 240 262	414044519990
SPT(16)	1459864866853037669	0 8 44 84 104 128 138 140 168 170 180 204 224 264 300 308	415407295650