Prime p₀= 1404162737161600457 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: Theadalus
db: batch=78, k=10, 2 28 2 10 2

SPT(16)	1404161334008811187	0 34 42 64 112 120 162 172 234 244 286 294 342 364 372 406	-1403152789270
SPT(13)	1404161717616563441	0 6 12 30 72 90 126 162 180 222 240 246 252	-1019545037016
SPT(16)	1404161771079089263	0 24 28 48 90 106 114 124 150 160 168 184 226 246 250 274	-966082511194
STPT(12)	1404161890601957999	0 2 30 32 72 74 108 110 150 152 180 182	-846559642458
STPT(10)	1404162090298210421	0 2 6 8 48 50 90 92 96 98	-646863390036
STPT(10)	1404162460474578071	0 2 36 38 78 80 120 122 156 158	-276687022386
STPT(10)	1404163059094032701	0 2 36 38 78 80 120 122 156 158	321932432244
SPT(16)	1404163265922684559	0 18 28 34 64 88 94 172 210 288 294 318 348 354 364 382	528761084102
STPT(10)	1404163349618058047	0 2 42 44 72 74 102 104 144 146	612456457590
STPT(10)	1404163588436560571	0 2 6 8 48 50 90 92 96 98	851274960114
SPT(16)	1404164131814114189	0 50 60 72 98 134 150 180 182 212 228 264 290 302 312 362	1394652513732