Prime p₀= 2168300781204693431 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2168299611871843217	0 26 50 102 140 144 146 150 176 180 182 186 224 276 300 326	-1169332850214
STPT(10)	2168299658368432997	0 2 42 44 72 74 102 104 144 146	-1122836260434
STPT(10)	2168299876960029311	0 2 36 38 78 80 120 122 156 158	-904244664120
STPT(10)	2168299921930506209	0 2 18 20 30 32 42 44 60 62	-859274187222
SPT(16)	2168299996859778893	0 18 20 26 74 96 116 206 258 348 368 390 438 444 446 464	-784344914538
TPT(14)	2168300528609425781	0 2 30 32 60 62 96 98 240 242 306 308 426 428	-252595267650
TPT(14)	2168300788301058839	0 2 42 44 108 110 138 140 198 200 240 242 288 290	7096365408
SPT(16)	2168300810407767887	0 14 20 66 90 104 134 150 176 192 222 236 260 306 312 326	29203074456
SPT(16)	2168300843363378387	0 6 20 42 104 114 126 132 164 170 182 192 254 276 290 296	62158684956
SPT(16)	2168300883129588271	0 18 78 100 120 162 172 192 226 246 256 298 318 340 400 418	101924894840
STPT(10)	2168301016632160379	0 2 12 14 30 32 48 50 60 62	235427466948