Prime p₀= 2658271989448847687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2658271067884201327	0 22 52 126 130 162 174 192 214 232 244 276 280 354 384 406	-921564646360
STPT(10)	2658271388288746157	0 2 54 56 72 74 90 92 144 146	-601160101530
SPT(16)	2658271528381258217	0 2 26 30 110 114 116 134 162 180 182 186 266 270 294 296	-461067589470
TPT(14)	2658271690242511487	0 2 42 44 144 146 180 182 222 224 240 242 342 344	-299206336200
SPT(16)	2658271701801404173	0 18 60 66 108 114 130 148 156 174 190 196 238 244 286 304	-287647443514
STPT(10)	2658271953003376649	0 2 18 20 30 32 42 44 60 62	-36445471038
STPT(10)	2658272063736552881	0 2 36 38 78 80 120 122 156 158	74287705194
STPT(10)	2658272569612749977	0 2 24 26 42 44 60 62 84 86	580163902290
SPT(16)	2658272603498776247	0 36 44 62 120 156 176 180 296 300 320 356 414 432 440 476	614049928560
SPT(16)	2658272618238239741	0 12 30 50 90 156 182 186 212 216 242 308 348 368 386 398	628789392054
STPT(10)	2658272643025329311	0 2 36 38 78 80 120 122 156 158	653576481624