Prime p₀= 3001774721201144027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	3001772002692039977	0 44 56 80 96 110 114 126 140 152 156 170 186 210 222 266	-2718509104050
SPT(16)	3001772286179149849	0 48 60 90 112 144 168 198 214 244 268 300 322 352 364 412	-2435021994178
SPT(16)	3001773425893676173	0 6 10 28 60 166 180 204 220 244 258 364 396 414 418 424	-1295307467854
SPT(16)	3001773682802507369	0 18 38 60 72 78 128 158 204 234 284 290 302 324 344 362	-1038398636658
SPT(16)	3001773871174691957	0 12 32 60 110 182 210 212 234 236 264 336 386 414 434 446	-850026452070
SPT(16)	3001774317902134993	0 4 36 70 108 124 144 154 180 190 210 226 264 298 330 334	-403299009034
STPT(10)	3001774770152344799	0 2 18 20 30 32 42 44 60 62	48951200772
STPT(10)	3001774793160444419	0 2 18 20 30 32 42 44 60 62	71959300392
SPT(16)	3001774829528599381	0 52 66 90 102 112 118 138 160 180 186 196 208 232 246 298	108327455354
SPT(16)	3001775084169424361	0 36 42 78 110 122 126 138 140 152 156 168 200 236 242 278	362968280334
SPT(16)	3001775243541008443	0 6 46 90 94 136 148 204 220 276 288 330 334 378 418 424	522339864416