Prime p₀= 1976078471916344219 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 58 2 88 2 58 2 28 2 (?)
a_n: 0 2 30 32 90 92 180 182 240 242 270 272
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 272
Found by: Dingo
db: batch=80, k=12, 2 28 2 58 2 88

STPT(12)	1976076889313549129	0 2 30 32 48 50 72 74 90 92 120 122	-1582602795090
SPT(16)	1976077073948239079	0 42 90 110 140 158 180 198 254 272 294 312 342 362 410 452	-1397968105140
STPT(10)	1976077544886517727	0 2 54 56 72 74 90 92 144 146	-927029826492
SPT(16)	1976077796815354103	0 26 138 158 180 236 254 258 266 270 288 344 366 386 498 524	-675100990116
SPT(16)	1976077969833237227	0 2 6 20 42 60 66 72 74 80 86 104 126 140 144 146	-502083106992
TPT(14)	1976078233828435199	0 2 12 14 108 110 138 140 222 224 288 290 348 350	-238087909020
STPT(10)	1976078494644121337	0 2 30 32 42 44 54 56 84 86	22727777118
STPT(10)	1976078847737700029	0 2 42 44 60 62 78 80 120 122	375821355810
SPT(16)	1976079053831960713	0 4 6 30 34 54 88 100 114 126 160 180 184 208 210 214	581915616494
STPT(10)	1976079212975732477	0 2 30 32 42 44 54 56 84 86	741059388258
STPT(10)	1976079640479097001	0 2 30 32 60 62 90 92 120 122	1168562752782