Prime p₀= 1337411641566410321 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: stoneageman
db: batch=77, k=10, 2 4 2 10 2

STPT(10)	1337409553757368361	0 2 6 8 48 50 90 92 96 98	-2087809041960
SPT(16)	1337410118222402227	0 6 66 82 106 126 132 196 216 280 286 306 330 346 406 412	-1523344008094
STPT(10)	1337410411088556419	0 2 18 20 30 32 42 44 60 62	-1230477853902
STPT(10)	1337410535786494061	0 2 6 8 48 50 90 92 96 98	-1105779916260
SPT(16)	1337410916388136321	0 28 30 36 42 70 96 102 166 172 198 226 232 238 240 268	-725178274000
SPT(16)	1337411292174561449	0 42 48 60 62 74 98 104 108 114 138 150 152 164 170 212	-349391848872
SPT(16)	1337411651800729669	0 42 52 90 124 132 168 208 234 274 310 318 352 390 400 442	10234319348
STPT(10)	1337412007957988759	0 2 18 20 30 32 42 44 60 62	366391578438
SPT(16)	1337412029647316743	0 16 94 106 120 130 148 150 184 186 204 214 228 240 318 334	388080906422
SPT(16)	1337412255977345617	0 42 46 72 82 84 114 216 220 322 352 354 364 390 394 436	614410935296
STPT(10)	1337412432446018189	0 2 18 20 30 32 42 44 60 62	790879607868