Prime p₀= 2319773820398052119 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Orange Kid
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2319773315908756009	0 30 124 180 222 238 264 268 294 298 324 340 382 438 532 562	-504489296110
TPT(14)	2319773324504228561	0 2 66 68 90 92 126 128 180 182 246 248 336 338	-495893823558
SPT(16)	2319773514098714329	0 10 24 40 88 90 94 138 160 204 208 210 258 274 288 298	-306299337790
SPT(16)	2319773673610413437	0 20 54 60 62 74 96 152 204 260 282 294 296 302 336 356	-146787638682
SPT(16)	2319773676350860189	0 42 120 130 144 148 172 174 208 210 234 238 252 262 340 382	-144047191930
SPT(16)	2319773721661108199	0 92 168 180 182 188 210 240 320 350 372 378 380 392 468 560	-98736943920
STPT(10)	2319774017602461389	0 2 12 14 90 92 168 170 180 182	197204409270
STPT(10)	2319774035210418299	0 2 78 80 120 122 162 164 240 242	214812366180
STPT(10)	2319774090084690287	0 2 42 44 72 74 102 104 144 146	269686638168
TPT(14)	2319774203559161651	0 2 66 68 78 80 150 152 156 158 168 170 210 212	383161109532
STPT(10)	2319774391715589407	0 2 30 32 42 44 54 56 84 86	571317537288