Prime p₀= 2979886024698990149 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 58 2 4 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 78 80 138 140 150 152
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: 152
Found by: Asgard2022
db: batch=82, k=12, 2 10 2 58 2 4

SPT(16)	2979883902114394801	0 12 18 28 42 58 60 82 186 208 210 226 240 250 256 268	-2122584595348
STPT(10)	2979884373699123437	0 2 30 32 42 44 54 56 84 86	-1650999866712
SPT(16)	2979885043417867133	0 6 8 30 38 54 86 164 180 258 290 306 314 336 338 344	-981281123016
SPT(16)	2979885455600623847	0 56 84 90 92 102 110 222 224 336 344 354 356 362 390 446	-569098366302
STPT(12)	2979885664216350887	0 2 30 32 54 56 60 62 84 86 114 116	-360482639262
STPT(10)	2979885857748856247	0 2 42 44 72 74 102 104 144 146	-166950133902
SPT(16)	2979886430057026817	0 32 60 116 134 150 164 192 194 222 236 252 270 326 354 386	405358036668
STPT(10)	2979886749440532467	0 2 30 32 42 44 54 56 84 86	724741542318
STPT(10)	2979887140013811791	0 2 30 32 78 80 126 128 156 158	1115314821642
SPT(16)	2979887306119802371	0 66 72 100 102 108 132 150 178 196 220 226 228 256 262 328	1281420812222
SPT(16)	2979887358315334009	0 34 82 112 124 130 144 154 180 190 204 210 222 252 300 334	1333616343860