Prime p₀= 1266459123648161867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Megacruncher
db: batch=77, k=10, 2 10 2 58 2

TPT(14)	1266457486178234489	0 2 42 44 150 152 240 242 252 254 348 350 360 362	-1637469927378
STPT(10)	1266457647260966117	0 2 60 62 72 74 84 86 144 146	-1476387195750
SPT(16)	1266457996394941739	0 12 60 68 152 182 188 210 230 252 258 288 372 380 428 440	-1127253220128
SPT(16)	1266458474422878389	0 24 80 90 122 164 170 210 212 252 258 300 332 342 398 422	-649225283478
SPT(16)	1266458499195208463	0 8 36 44 78 128 144 146 198 200 216 266 300 308 336 344	-624452953404
SPT(16)	1266458596546201199	0 12 18 42 78 120 140 144 278 282 302 344 380 404 410 422	-527101960668
SPT(16)	1266459484129569643	0 30 58 70 88 106 144 180 214 250 288 306 324 336 364 394	360481407776
SPT(16)	1266459691625117201	0 2 60 92 158 168 182 192 266 276 290 300 366 398 456 458	567976955334
STPT(10)	1266459740225727569	0 2 18 20 30 32 42 44 60 62	616577565702
SPT(16)	1266459777116935067	0 2 62 116 122 150 176 206 210 240 266 294 300 354 414 416	653468773200
STPT(10)	1266459981006606509	0 2 12 14 30 32 48 50 60 62	857358444642