Prime p₀= 1123355787680272379 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 10 2 10 2 46 2 (?)
a_n: 0 2 48 50 60 62 72 74 120 122
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: mikey
db: batch=76, k=10, 2 46 2 10 2

TPT(14)	1123354491592709009	0 2 12 14 60 62 102 104 132 134 138 140 210 212	-1296087563370
SPT(16)	1123354576244187901	0 40 42 48 52 60 66 102 196 232 238 246 250 256 258 298	-1211436084478
STPT(10)	1123354646595754121	0 2 6 8 48 50 90 92 96 98	-1141084518258
SPT(16)	1123355025372445703	0 14 50 66 74 80 96 120 140 164 180 186 194 210 246 260	-762307826676
TPT(14)	1123355167626063089	0 2 12 14 90 92 168 170 240 242 300 302 390 392	-620054209290
STPT(10)	1123355701144145471	0 2 30 32 60 62 90 92 120 122	-86536126908
STPT(12)	1123355878913603519	0 2 30 32 42 44 120 122 132 134 162 164	91233331140
SPT(16)	1123355927893647557	0 72 84 96 116 120 134 174 182 222 236 240 260 272 284 356	140213375178
STPT(10)	1123355952852609569	0 2 42 44 60 62 78 80 120 122	165172337190
SPT(16)	1123356294064920187	0 70 72 82 126 132 166 184 192 210 244 250 294 304 306 376	506384647808
SPT(16)	1123356336911962781	0 36 62 66 78 90 96 146 222 272 278 290 302 306 332 368	549231690402