Prime p₀= 1117031614014153119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: 122
Found by: sorcrosc
db: batch=76, k=10, 2 16 2 40 2

STPT(10)	1117027745182930877	0 2 30 32 102 104 174 176 204 206	-3868831222242
SPT(16)	1117029174796402577	0 14 72 110 132 156 164 180 206 222 230 254 276 314 372 386	-2439217750542
SPT(16)	1117029732974464007	0 2 54 66 86 110 116 144 152 180 186 210 230 242 294 296	-1881039689112
SPT(16)	1117030118498899673	0 26 50 56 78 110 146 200 246 300 336 368 390 396 420 446	-1495515253446
STPT(12)	1117030795209502289	0 2 30 32 72 74 138 140 180 182 210 212	-818804650830
SPT(16)	1117031533769870063	0 8 60 78 80 98 108 134 174 200 210 228 230 248 300 308	-80244283056
SPT(16)	1117031684728761071	0 6 36 116 138 158 180 188 210 218 240 260 282 362 392 398	70714607952
SPT(16)	1117031694355169011	0 12 30 42 58 70 100 130 168 198 228 240 256 268 286 298	80341015892
SPT(18)	1117031882273289329	0 8 12 62 144 194 222 260 284 288 312 350 378 428 510 560 564 572	268259136210
SPT(16)	1117031896431974119	0 4 22 42 64 70 84 114 148 178 192 198 220 240 258 262	282417821000
STPT(10)	1117032378265024607	0 2 12 14 42 44 72 74 84 86	764250871488