Prime p₀= 2377281739011419291 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: Landjunge
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2377280493648496451	0 2 36 38 78 80 120 122 156 158	-1245362922840
TPT(14)	2377280588220122357	0 2 42 44 120 122 300 302 342 344 444 446 474 476	-1150791296934
SPT(16)	2377281122960012369	0 18 84 92 114 128 132 150 182 200 204 218 240 248 314 332	-616051406922
SPT(16)	2377281361484524081	0 6 10 30 60 66 130 132 196 198 262 268 298 318 322 328	-377526895210
STPT(10)	2377281404525356907	0 2 30 32 42 44 54 56 84 86	-334486062384
STPT(10)	2377281428339570447	0 2 30 32 60 62 90 92 120 122	-310671848844
SPT(16)	2377281953435201257	0 40 82 90 106 126 186 190 312 316 376 396 412 420 462 502	214423781966
STPT(10)	2377282194019974287	0 2 12 14 72 74 132 134 144 146	455008554996
SPT(16)	2377282259263670039	0 2 54 72 74 114 138 144 218 224 248 288 290 308 360 362	520252250748
TPT(14)	2377282506621972821	0 2 18 20 48 50 126 128 186 188 210 212 240 242	767610553530
SPT(16)	2377282544195839699	0 4 12 24 34 40 72 90 94 112 144 150 160 172 180 184	805184420408