Prime p₀= 4047430774488836351 starts a Symmetric tuple of 14 consecutive primes, which form 7 twin primes (STPT).
d_n: 0 2 34 2 40 2 58 2 58 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 138 140 198 200 240 242 276 278
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 278
Found by: Centaur
db: batch=84, k=14, 2 34 2 40 2 58 2

SPT(16)	4047427621788368833	0 58 60 100 126 130 136 144 190 198 204 208 234 274 276 334	-3152700467518
STPT(12)	4047427734700516847	0 2 42 44 72 74 102 104 132 134 174 176	-3039788319504
STPT(10)	4047427912392209159	0 2 42 44 150 152 258 260 300 302	-2862096627192
STPT(10)	4047428680972356467	0 2 60 62 72 74 84 86 144 146	-2093516479884
STPT(10)	4047429343562614991	0 2 36 38 78 80 120 122 156 158	-1430926221360
STPT(10)	4047429464723052509	0 2 12 14 90 92 168 170 180 182	-1309765783842
TPT(14)	4047430774488836351	0 2 36 38 78 80 138 140 198 200 240 242 276 278	0
SPT(16)	4047430964139620243	0 6 26 60 84 134 140 156 284 300 306 356 380 414 434 440	189650783892
SPT(16)	4047431050283913473	0 18 20 24 26 30 54 60 194 200 224 228 230 234 236 254	275795077122
SPT(16)	4047431663556043309	0 4 10 52 112 114 120 138 154 172 178 180 240 282 288 292	889067206958
SPT(16)	4047432488616313679	0 32 60 72 98 120 150 158 204 212 242 264 290 302 330 362	1714127477328