Prime p₀= 1374397800076044617 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: gemini8
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1374396819179693171	0 2 36 38 78 80 120 122 156 158	-980896351446
SPT(16)	1374397268058058549	0 12 40 78 88 138 162 172 240 250 274 324 334 372 400 412	-532017986068
STPT(10)	1374397447581559727	0 2 42 44 72 74 102 104 144 146	-352494484890
SPT(16)	1374397520826266269	0 22 84 102 120 130 144 198 244 298 312 322 340 358 420 442	-279249778348
SPT(16)	1374397536269577299	0 42 60 84 104 110 120 168 194 242 252 258 278 302 320 362	-263806467318
STPT(10)	1374397715012116967	0 2 30 32 42 44 54 56 84 86	-85063927650
SPT(16)	1374398006204263559	0 38 72 78 122 128 138 140 192 194 204 210 254 260 294 332	206128218942
STPT(10)	1374398101538555579	0 2 12 14 90 92 168 170 180 182	301462510962
STPT(10)	1374398166173044511	0 2 36 38 78 80 120 122 156 158	366096999894
SPT(16)	1374398227023485197	0 22 52 66 94 154 162 174 232 244 252 312 340 354 384 406	426947440580
STPT(10)	1374398573418060269	0 2 48 50 60 62 72 74 120 122	773342015652