Prime p₀= 2180978644727782349 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 10 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 72 74 102 104 132 134
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: 134
Found by: [SG-FC] hl
db: batch=81, k=12, 2 28 2 28 2 10

SPT(16)	2180976695456390893	0 40 84 106 120 124 130 136 138 144 150 154 168 190 234 274	-1949271391456
STPT(10)	2180976745336668077	0 2 30 32 42 44 54 56 84 86	-1899391114272
STPT(10)	2180977020847318781	0 2 6 8 48 50 90 92 96 98	-1623880463568
SPT(16)	2180977254741542641	0 18 88 96 108 126 150 208 228 286 310 328 340 348 418 436	-1389986239708
TPT(14)	2180977846141736489	0 2 12 14 42 44 72 74 150 152 168 170 198 200	-798586045860
SPT(16)	2180978438612513791	0 10 28 40 58 66 72 96 142 166 172 180 198 210 228 238	-206115268558
SPT(16)	2180978700815138831	0 38 62 78 80 102 132 140 168 176 206 228 230 246 270 308	56087356482
STPT(10)	2180978850660218417	0 2 30 32 42 44 54 56 84 86	205932436068
STPT(10)	2180978921427913037	0 2 30 32 72 74 114 116 144 146	276700130688
TPT(14)	2180979036666095759	0 2 30 32 42 44 78 80 90 92 120 122 162 164	391938313410
STPT(12)	2180979036666095759	0 2 30 32 42 44 78 80 90 92 120 122	391938313410